
CALC
f(x)=x^33x^23x8/(3x^24x6) Find the equation of the nonvertical asymptote. What is the smallest value of x at which f(x) intersects its nonvertical asymptote? the non vertical asymptote is 1/3x + 13/9 i found that using synthetic division and i
asked by UCI on March 11, 2012 
CALCULUS HELP !
f(x)=(3x^3x^29x8)/(6x^2+4x+3. Find the equation of the nonvertical asymptote. y= Does f(x) intersect its nonvertical asymptote ? What is the smallest value of x at which f(c) intersects its nonvertical asymptote ? please show all the work. I did
asked by tony on July 21, 2011 
calculus
f(x)=8x^3+1x^2–8x+2/–7x^2–4x+9 Find the equation of the nonvertical asymptote. y = Does f(x) intersect its nonvertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its nonvertical asymptote? ( Enter No in the
asked by Jin on September 4, 2010 
calc
f(x)=[5x^34x^28x+9]/[2x^21x3] Find the equation of the nonvertical asymptote. y = Does f(x) intersect its nonvertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its nonvertical asymptote? ( Enter No in the
asked by jasmineT on March 12, 2012 
calc
f(x)=[5x^34x^28x+9]/[2x^21x3] Find the equation of the nonvertical asymptote. y = Does f(x) intersect its nonvertical asymptote? (yes or no) What is the smallest value of x at which f(x) intersects its nonvertical asymptote? ( Enter No in the
asked by jasmineT on March 12, 2012 
Calculus
f(x)= (5x^3 + 3x^2 + 3x 5)/(8x^2 +2x + 7) Find the equation of the nonvertical asymptote. y = ? Does f(x) intersect its nonvertical asymptote? (yes or no) If yes, what is the smallest value of x at which f(x) intersects its nonvertical asymptote?
asked by gloria on June 3, 2012 
Math  Calculus
Find the equation of the nonvertical asymptote. What is the smallest value of x at which f(x) intersects its? 6x^3 + 2x^2  9x +3 / 5x^2 +9x  4 1)Find the equation of the nonvertical asymptote. 2)What is the smallest value of x at which f(x)
asked by Jacob on July 17, 2011 
CALCULUS!
f(x)=(6x^3–9x^2–3x–1)/(4x^2+7x–3) . Find the equation of the nonvertical asymptote. y = ____3x/2  39/8_____ Does f(x) intersect its nonvertical asymptote? (yes or no) ___YES____ What is the smallest value of x at which f(x) intersects its
asked by Brit on July 21, 2011 
CALC 2a
f(x)=x^33x^23x8/(3x^24x6) Find the equation of the nonvertical asymptote. What is the smallest value of x at which f(x) intersects its nonvertical asymptote? please help i have no idea how to solve this thanks!
asked by uci student on March 7, 2012 
Calc
f(x)=x^33x^23x8/(3x^24x6) Find the equation of the nonvertical asymptote. What is the smallest value of x at which f(x) intersects its nonvertical asymptote?
asked by Elli on March 11, 2012 
calculus
Find the equation of the nonvertical asymptote. y=?? 5x^3+5x^2+8x7/9x^2+9x+9 What is the smallest value of x at which f(x) intersects its nonvertical asymptote?
asked by alex on November 23, 2009 
Precalculus
Write an equation for rational function with given properties. a) a hole at x = 1 b) a vertical asymptote anywhere and a horizontal asymptote along the xaxis c) a hole at x = 2 and a vertical asymptote at x = 1 d) a vertical asymptote at x = 1 and a
asked by Casey on January 10, 2012 
pre calc
(9x^36x^2x+3)/(2x^2+5x+2) I have figured out the equation for the slant asymptote = (33/4)(9x/2) but this next ? is throwing me off. I have tried graphing and everything and it doesnt seem to work. What is the smallest value of x at which f(x)
asked by morgan on October 8, 2014 
calculus
f(x) = (9x^3  1x^2 + 8x + 4)/(2x^2  4x  2) What is the smallest value of x at which f(x) intersects its nonvertical asymptote? I took the slant asymptote which is 9/2x+19/2 and set it equal to the function and tried to solve it as a quadratic
asked by Pegs on May 28, 2010 
calculus
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A.the horizontal asymptote(s) B.the vertical asymptote(s) C. describe their possible meanings Horizontal asymptote is y=100 vertical
asked by Sharon on June 17, 2015 
math
Suppose the the limit as x approaches 6 to the left equals infinity. What conclusion can be made about the graph of y = f (x)? there is a horizontal asymptote at y = 6 there is a horizontal asymptote at y = 6 there is a vertical asymptote at x = 6 there
asked by lilly on March 10, 2014 
advance functions gr12
write an equation for a rational function whose graph has all of the indicated features: vertical asymptote with equation x=3 horizontal asymptote with equation y=2 hole at x=1 no x intercept thank you
asked by sam on April 2, 2013 
Given the following rational function
Given the following rational function, find a) the horizontal asymptote(s), b) the vertical asymptote(s), if any, and c) the oblique asymptote(s), if any. F(x) = x^2x2/2x^2x2
asked by Jenn on March 16, 2013 
college algebra
Given the following rational function, find a. the horizontal asymptote(s), b. the vertical asymptote(s), if any, and c. the oblique asymptote(s), if any. f(x)=(x^2x2)/(2x^2x10)
asked by LISSETT on December 17, 2012 
College Algebra
Given the following rational functions,find:a.)the horizontal asymptote(s), b.)the vertical asymptote(s), if any,and c.) the oblique asymptote(),if any. f(x)=x(x17)^2/(x+12)^3
asked by Shasta on December 18, 2012 
Math
f(x) = tan x / sin x Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.
asked by David on May 3, 2016 
Math
given f(x)=2/x2 +2 determine the equation of the vertical asymptote ' ' ' ' horizontal asymptote 2.find the coordinates of x intercept. 3.' ' ' y ' '. 4.sketch the graph of of f. 5.Determine the equations of the axes of symmetry of f(x)
asked by Anonymous on March 27, 2012 
College Algebra
1.Use completing the square to describe the graph of the following function. Support your answer graphically. f(x) = 2x^2 + 4x + 5 2. Find the vertical, horizontal, and oblique asymptotes, if any, for the following rational function. R(x) = 5x/x+7 The
asked by Kameesha on August 3, 2012 
Calculus quick question pls
Why is there no vertical asymptote on F(x) = x/(x^2+1) What i learned is that to find vertical asymptote you have to set the denominator To 0 and solve for x ? In that case I find that x=1,1
asked by Amelia on April 24, 2016 
Math
If x=1 is the vertical asymptote and y=3 is the horizontal asymptote for the graph of the function f which of the following could be the equation of the curve A.f(x)=(3x^2)/(x1) B.f(x)=3(x1)/(x+3) C.f(x)=3(x^21)/(x1) D.f(x)=3(x^21)/(x1)^2
asked by Anonymous on October 15, 2018 
precalcus
what is the rational equation of a function with intercepts at (8,0) and (0,0.16) and a horizontal asymptote at y=0.5 and a vertical asymptote at x=3 and a removable discontinuity at (3,1)
asked by Ashley on November 11, 2015 
Math 111 URGENT
Find the vertical asymptotes of the following function: f(x)={x3}/{(x3)(x^24)}. The equation(s) of the vertical asymptote(s) of f is/are___ & ____
asked by Jessica on November 10, 2010 
PreCalculus
State the Vertical Asymptote, Horizontal Asymptote, domain, range, x intercept and y intercept for the following Function. y= (5x)/(x+3) I already know that the Vertical asymptote is 3, so that means the domain is everything except 3, but how do I find
asked by Shawn on April 8, 2014 
Math
Write an equation for a rational function whose graph has all of the indicated features. x  intercept of 4 y  intercept of 2 vertical asymptote with equation x = 2 horizontal asymptote with equation y = 1
asked by Anon on March 21, 2018 
Math
State an equation of a rational function that satisfies the given conditions: vertical asymptote at x=5, horizontal asymptote at y=3, and xintercept is 5/2. Need help solving.
asked by John on November 5, 2018 
Calculus AB
Let f be the function that is given by f(x)=(ax+b)/(x^2  c). It has the following properties: 1) The graph of f is symmetrical with respect to the yaxis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes through the point (1,3)
asked by Michael on July 30, 2016 
PreCalculus
Rational Functions does the following function have a hole or a vertical asymptote or both? how do you know? find the yvalue at that point. y=x^2+7x+12/x^2+8x+15 I factored this out to y = (x+3)(x+4)/(x+5)(x+3) The x+3's cancelled out. I don't get the
asked by Shreya on October 2, 2012 
Algebra ll
Please help..I do not understand any of this... Analyze the graph of the function f(x)=x^2+x42/x+3 a.)what is the domain? b.)what is the equation of the vertical asymptote of f(x)? c.)What is the equation of the horizontal or oblique asymptote? d.) choose
asked by Sherri on May 11, 2015 
Calculus
f(x)=(9x3–5x2+4x–2)/(–7x2–9x+7) What is the smallest value of x at which f(x) intersects its nonvertical asymptote?
asked by HELP!!! DESPERATE D; on June 1, 2012 
Calculus
Which of these rational functions has a ) horizontal asymptote? a slant asymptote? no vertical asymptote? r(x)= 2x1/ x^2x2 = 2x1/ (x2)(x+1) s(x)= x^3+27/x^2+4 = (x+3)(x^23x+9)/(x2)(x+2) t(x)=x^39x= x(x3)(x+3)/x+2 u(x)=x^2+x6/x^225=
asked by Anonymous on October 12, 2009 
Math
What is the:  vertical asymptote horizontal asymptote non permissible value of y=(x^2+x12)/(x+4) ? So this simplifies to a linear function y=x3. BUT the oblique asymptote is also y=x3. So does this graph not exist? I am really confused.
asked by Beth on October 15, 2015 
Pre Cal
which of the following best describes the behavior of thre function f(x)=(x^22x)/(x^24) at the values not in its domain? a) one vertical asymptote, no removable discontinuities b) 2 vertical asymptotes c) two removable discontinuities d) one removable
asked by Ashley on July 24, 2011 
Math
Analyze the function algebraically. List its vertical asymptotes, holes, yintercept, and horizontal asymptote, if any. q(x)= 4/x2 vertical asymptote= hole= horizontal asymptote= yintercept=
asked by Anonymous on October 31, 2010 
math help please...
1.Explain how to find the equation of the vertical asymptotes of a reciprocal function. 2.The reciprocal of a linear function and a quadratic function have the same horizontal asymptote. What is its equation? 3.Explain how to use end behaviour to find the
asked by Kayal on January 6, 2014 
college algebra
Given the following rational function, find: A. horizontal asymptotes B. vertical asymptote(s), if any C. oblique asymptote(s), if any f(x)=x^2x2/2x^2x21
asked by ladybug on November 10, 2012 
Algebra  Help!
Given the function: f(x)=(x^2+6x+5)/(x^2+3x−10) Find the Domain: Vertical asymptote(s): Hole(s): Horizontal asymptote (if exists):
asked by Jared on April 7, 2014 
College Algrbra
Given the following rational function, f(x)=x^2x2/ax^2x21 find (a) the horizontal asymptote(s) (b) the vertical asymptote(s), if any and (c) the oblique aasymptote(s) if any
asked by Sherri on December 17, 2012 
Rational Functions
Write an equation for a rational function whose graph has the following properties: xintercept of 3 yintercept of 3 vertical asymptote of x=2 horizontal asymptote of y=2
asked by Rebecca on October 6, 2014 
Math
Write the equation of a rational function in the form of 𝑓(𝑥) = 𝑎𝑥+𝑏/𝑐𝑥+𝑑 if the vertical asymptote is x =5, the horizontal asymptote is y=2, the xintercept is (1/2 , 0) and the yintercept is (0,1/5 ).
asked by Squad on July 11, 2016 
advanced alg.
i meant how do you find the hoizontal and vertical asymptote from an equation?
asked by Amanda E. on March 13, 2011 
pre calculus
given points (0,0) (0,5) vertical asymptote of (1,1) and horiz (2,1) how do I find the equation??????
asked by M on September 22, 2011 
Trigonometry
F(X) = 2x^35x^219x+1 / x^29....I need the vertical asymptote, horizontal asymptote and the slant asymptote...please help!
asked by Justin on March 4, 2011 
precalculus
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A. the horizontal asymptote B. the vertical asymptote C. describe their possible meaning ( I only need help with C
asked by Sharon on June 20, 2015 
college algebra
The following rational function describes blood concentration of a certain drug taken via IV over time: f(x)=x+1/x Find: a.the horizontal or oblique asymptote(s), if any, b.the vertical asymptote(s),if any, c. describe their possible meanings.
asked by charisse on July 7, 2013 
algebra II
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find a. the horizontal or oblique asymptote(s), if any, b. the vertical asymptote(s), if any, c. describe their possible meanings.
asked by Kristen on March 3, 2015 
math
The following rational function describes blood concentration of a certain drug taken via IV over time: f(x)=x+1/x Find: a.the horizontal or oblique asymptote(s), if any, b.the vertical asymptote(s),if any, c. describe their possible meanings. Can somebody
asked by cindy on April 10, 2013 
algebra 2
The graph of f(x)= (x^22x8)/(x+6) has which of the following? a. point discontinuity b. vertical asymptote c. both of the above d. neither of the above I'm stuck between b and c. I know that the vertical asymptote is x=6. Help?
asked by huncho jack on March 6, 2018 
math help please
Consider the function g(x)=x/x7. a) Determine an equation for the vertical asymptote. b) State the domain. c) Determine an equation for the horizontal asymptote. d) State the range. e) Sketch the function. ( i will do it) f) Summarize the increasing and
asked by & John & on December 11, 2013 
Calculus
The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A) the horizontal or oblique asymptote B) the vertical asymptote, if any C) describe their meanings f(x)=x/x^2100
asked by Wendy on August 14, 2015 
Algebra
write an equation for a rational function that has a vertical asymptote of 4, a horizontal asymptote of 3, and vertically shrinks the graph by a factor of 5 (compared to the graph of y=1/x). So far I have Y=3x/x+4 but I can't figure out how to shrink the
asked by Donna on August 10, 2015 
precalculus
Steve, The following rational function describes concentration in blood of a certain medicine taken once depending on time, find: A. the horizontal asymptote B. the vertical asymptote C. describe their possible meaning ( I only need help with C).
asked by Sharon on June 20, 2015 
Precalc
Find an equation of a rational function that satisfies the given conditions. Vertical asymptote: x = 4 Horizontal asymptote: y = 0 Xintercepts: none Yintercepts (0, 1/4) Multiplicity of 1 Removable discontinuity: x = 1 End behavior: x > infinity, f(x)
asked by Max on November 13, 2017 
MathLogarithmic function
Find the equation of a logarithmic function whose graph has xintercept 8, a vertical asymptote at x=0, and which passes through the point (1/2,4)
asked by Sara on February 13, 2011 
MathLogarithmic function
Find the equation of a logarithmic function whose graph has xintercept 8, a vertical asymptote at x=0, and which passes through the point (1/2,4)
asked by Sara on February 13, 2011 
Harrisburg Area Community College
find the equation of a rational function that passes through (0,1) and (2,1), has the x axis as a horizontal asymptote, and has two vertical asymptotes at x=3 and x=3
asked by Alanna on October 27, 2015 
Math(Please help!)
Describe the vertical asymptote and hole for the graph of (x^2+x6)/(x^29). a. asymptote: x=2; hole: x=3 b. asymptote: x=3; hole: x=2 c. asymptote: x=3; hole: x=3 d. asymptote: x=3; hole: x=3 I know that it has to either be b or d because the asymptote
asked by Olivia N J on February 15, 2017 
algebra
Describe the vertical asymptote and hole for the graph of (x^2+x6)/(x^29). a. asymptote: x=2; hole: x=3 b. asymptote: x=3; hole: x=2 c. asymptote: x=3; hole: x=3 d. asymptote: x=3; hole: x=3 I know that it has to either be b or d because the asymptote
asked by helana on November 9, 2018 
Algebra 2
Use the following equation to perform the operations below (do not graph the equation yet): y ={x + 5}{x + 1}\{(x + 3)(x  2)}{(x  4)(x + 1)})  {1}/{x  2} What graphical feature occurs at {x} = 1? Use the "trace" function, zoom in on the graph, or look
asked by Boy if you don't on August 6, 2015 
math
Hi, I have a math question that I need help with: g:> 3(1.3)^x State equations for any asymptotes to the graph of g. I know what an asymptote is, but I do not understand this question...so lost. Help would be greatly appreciated. Thanks so much I'm a
asked by christine on September 16, 2006 
math
find the domain, range, y and xintercept, vertical asymptote, maximum, minimum, onetoone, and horizontal asymptote of: a. f(x)=x^26x+5 b. f(x)=x^26x+5 on domain [1,6]
asked by Joan on September 3, 2014 
Algebra  functions
Given the function: f(x) = 5/(x1)^2 Find the Horizontal Asymptote: Vertical Asymptote: Hole(s): X intercept: Y intercept:
asked by Kendrick on April 11, 2014 
University of Phoenix
I'm taking this math class and I'm suppose to find the vertical, horizontal and oblique asymptote, if any for the following equation... f(x) = 11  (5x/5x^2 + 7x  12) by NOT, i repeat NOT looking at a graph of the function. Thanks...
asked by Armando on May 23, 2011 
math calculus
For the function: f(x)= 2+xx^2/ (x1)^2 ; f'(x)= x5/(x1)^3 ; f''(x)=2x14/(x1)^4 a)find vertical and horizontal asymptotes. Examine vertical asymptote on either side of discontinuity. b)find any local extrema c)find points of inflection
asked by Sarah on November 29, 2014 
Math
what is the equation for the vertical asymptote of 5x^47/2x+3
asked by Melinda Gomez on July 16, 2011 
pre calculus
Use the following conditions to create a sketch of the function by hand. a. vertical asymptote at x=3 b. xintercept of 1 and 5 c. f(2)=f(4)=f(6)=3 d. increasing on [0,3) and [5,infinity) e. decreasing on (3,5] f. f(x) is an odd function I don't know how
asked by Muffy on October 26, 2009 
math
When looking for the vertical asymptote in for example, 1/(x^2+3), would the vertical asymptote be radical 3 or just there isn't one?
asked by Bee on July 5, 2008 
Algebra
Enter the equations of the asymptotes for the function f(x) . f(x)= −(2/x+4) − 6 Vertical Asymptote: ? Horizontal Asymptote: ?
asked by Esther on April 9, 2018 
math
The graph of the function f(x)=(x^9)/2x^25x3 has a vertical asymptote a x=a and a horizontal asymptote at y=b. What are the values of the constants a and b? A. a=3 b=2 B. a=1/2 b=1/2 C. a=1/2 b=1/2 D. a=3 b=2 B???
asked by Anonymous on September 3, 2018 
math
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).
asked by Iva on April 20, 2010 
PreCalc/Trig...
Write a function with the following characteristics: A vertical asymptote at x=3 A horizontal asymptote at y=2 An xintercept at x=5
asked by Anonymous on November 12, 2014 
Math
Give an example of a rational function that has vertical asymptote x = 3 and x = 3, horizontal asymptote y = 2 and yintercept is (0, 4)
asked by Calvin on March 12, 2018 
Math
Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes
asked by Cody on February 14, 2016 
math
Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1.
asked by alex on June 23, 2014 
algebra
find the slant asymptote of the graph of the rational function and use the slant asymptote to graph. f(x)=x^2+x2/x7 find slant asymptote of graph of f use slant asymptote to graph rational function find x and y intercepts find vertical and horizontal
asked by anniston on September 5, 2012 
analyze the graph of the function
analyze the graph of the function R(x)=x^212/x6 a) What is the domain of R(x)? b) What is the equation of the vertical asymptotes of R(x)? c) What is the equation of the horizontal or oblique asymptote of R(x)?
asked by Alley on March 27, 2013 
Maths  Recipricals
I'm having some torubles understanding these question. Sketch y1 = x3 and y2 = 1/x3 on the same set of axis a) What is the relationship between the zero of y1, and vertical asymptote of y2? Does the question mean when y1 = 0?. I know the vertical
asked by TK on August 23, 2008 
calc
I assume the poster was trying to type "oblique asymptote" from your answer of 3x+2 + 7/(x1) we can conclude that there is an oblique linear asymptote of y = 3x + 2, and a vertical asymptote at x = 1 for the original function given. how do u find obblique
asked by Reiny on March 26, 2007 
Calculus
If the graph of y = (ax  b)/(x  c) has a horizontal asymptote y=5 and a vertical asymptote x = − 2 , then b cannot be equal to what?
asked by Kaiti on June 5, 2012 
pre cal
f(x)= log2 (x1).The vertical asymptote of the function f(x) has equation:?
asked by tor on July 25, 2016 
AP Calculus
Are infinite discontinuities removable? Also, please help me with this question: f(x)=x^2+4x+3 / x^29 has one removable discontinuity and one vertical asymptote. Find and identify the xvalue for each. I found the asymptote at x=3, but please help for the
asked by Jerry on October 28, 2014 
Algebra
Determine the holes, vertical asymptotes and horizontal asymptotes of the rational function y=(3x^(2)+8x10)/(x^(2)+7x+12) Hole: Vertical Asymptote: Horizontal Asymptote:
asked by Aaron on April 13, 2017 
Algrebra II
hi, thanks for reading this I have a question for finding vertical and horizontal asymptotes! as to finding the intercepts, domain, and graphing it all together... like y= 6 over (x+3) I don't quite understand the concepts and things, but if you can give
asked by Kaz18 Tsuruoka on July 13, 2007 
math
Describe the vertical asymptote(s) and hole(s) for the graph of .y=(x3)(x1)/(x1)(x5) A. asymptote: x = 5 and hole: x = 1 B. asymptote: x = –5 and hole: x = –1 C. asymptote: x = –3 and hole: x = 5 D. asymptote: x = 5 and hole: x = –1
asked by stephanie on January 21, 2015 
calculus
Determine if the graph of the rational function has a slant asymptote. If it does, find the equation of the slant asymptote. (2x^3+18x^2+47x+24)/(x^2+6x+5)
asked by fsfsfsfss on November 26, 2011 
Math
what rational expression will fit each of the descriptions? a. Contains 2 vertical asymptotes. b. Contains a Horizontal asymptote of 3. c. Contains no vertical asymptotes but has a hole at x=2. d. Contains a horizontal asymptote of 1, vertical asymptotes
asked by anonymous on August 30, 2018 
Calculus
True or false. 1. If f(x) has a vertical asymptote at x=a, then the limit of f(x) as x > a from the left is negative infinite and the limit of f(x) as x> a from the right is positive infinite. I think this is true. Take for instance, a rational
asked by Anonymous on August 26, 2015 
math
Explain why the graph of g(x) = 1/x has a horizontal asymptote. What is the equation of this asymptote? Will all reciprocal functions have the same horizontal asymptote?
asked by Maddie on November 15, 2015 
calculusplease check
analyze the graph of the function f(x)=x^2+x90/x+3 a. what is the domain? I think it is x‚3 (‡,3)(3‡) b. what is the equation of the vertical asymptote? is it x= 3 c. what is the horizontal asymptotes? none
asked by ladybug on December 27, 2012 
calculusplease check
analyze the graph of the function f(x)=x^2+x90/x+3 a. what is the domain? I think it is x‚3 (‡,3)(3‡) b. what is the equation of the vertical asymptote? is it x= 3 c. what is the horizontal asymptotes? none
asked by ladybug on December 27, 2012 
math
A line with negative slope passes through the point P(5,2) and intersects the xaxis at the point A and the yaxis at the point B. a. Find the equation of the line for which the length of the segment AB is the smallest. b. Find the equation of the line for
asked by ani on February 22, 2015 
Calculus
What is the endbehavior asymptote for f(x)=(x^2+4x5)/(x2) ? There is an oblique asymptote at y=x+6 and a vertical asymptote at x=2. Is one of those the endbehavior asymptote?
asked by bex on April 8, 2014 
math help!!
Suppose a function, f(x) has a vertical asymptote toward positive infinity at x= 1, A horizontal asymptote at y = 1=2 as x ¨}‡1, and a turning point at (1;1). Sketch what you think the function would look like.
asked by HADEEL on July 16, 2012 
Math
Use the following information to construct a suitable rational function f(x). * There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. * The graph of the function must go through the points (4/3,0) and (0,2)
asked by Diva on April 21, 2010 
Calculus
Create a function which has the following properties: a. It has a horizontal asymptote at y=2 b. It has a discontinuity at x=2 which is not a vertical asymptote c. It has no other discontinuities or asymptotes Explain how your answer satisfies the previous
asked by Cody on February 14, 2016 
Math
Write a rational function satisfying the following criteria. vertical Asymptote: x=1, slant asymptote: y=x+2, zero of the function: x=3 I had f(x)=x^2+3x+2/x+1, that only works for the asymptotes and not the zero can someone please help me figure how to
asked by Anonymous on January 19, 2015
Pages
 1
 2
 3
 4
 5
 6
 7
 8
 9
 10
 11
 12
 13
 14
 15
 16
 17
 18
 19
 20
 21
 22
 23
 24
 25
 26
 27
 28
 29
 30
 31
 32
 33
 34
 35
 36
 37
 38
 39
 40
 41
 42
 43
 44
 45
 46
 47
 48
 49
 50
 51
 52
 53
 54
 55
 56
 57
 58
 59
 60
 61
 62
 63
 64
 65
 66
 67
 68
 69
 70
 71
 72
 73
 74
 75
 76
 77
 78
 79
 80
 81
 82
 83
 84
 85
 86
 87
 88
 89
 90
 91
 92
 93
 94
 95
 96
 97
 98
 99
 100
 101
 102
 103
 104
 105
 106
 107
 108
 109
 110
 111
 112
 113
 114
 115
 116
 117
 118
 119
 120
 121
 122
 123
 124
 125
 126
 127
 128
 129
 130
 131
 132
 133
 134
 135
 136
 137
 138
 139
 140
 141
 142
 143
 144
 145
 146
 147
 148
 149
 150
 151
 152
 153
 154
 155
 156
 157
 158
 159
 160
 161
 162
 163
 164
 165
 166
 167
 168
 169
 170
 171
 172
 173
 174
 175
 176
 177
 178
 179
 180
 181
 182
 183
 184
 185
 186
 187
 188
 189
 190
 191
 192
 193
 194
 195
 196
 197
 198
 199
 200
 201
 202
 203
 204
 205
 206
 207
 208
 209
 210
 211
 212
 213
 214
 215
 216
 217
 218
 219
 220
 221
 222
 223
 224
 225
 226
 227
 228
 229
 230
 231
 232
 233
 234
 235
 236
 237
 238
 239
 240
 241
 242
 243
 244
 245
 246
 247
 248
 249
 250
 251
 252
 253
 254
 255
 256
 257
 258
 259
 260
 261
 262
 263
 264
 265
 266
 267
 268
 269
 270
 271
 272
 273
 274
 275
 276
 277
 278
 279
 280
 281
 282
 283
 284
 285
 286
 287
 288
 289
 290
 291
 292
 293
 294
 295
 296
 297
 298
 299
 300
 301
 302
 303
 304
 305
 306
 307
 308
 309
 310
 311
 312
 313
 314
 315
 316
 317
 318
 319
 320
 321
 322
 323
 324
 325
 326
 327
 328
 329
 330
 331
 332
 333
 334
 335
 336
 337
 338
 339
 340
 341
 342
 343
 344
 345
 346
 347
 348
 349
 350
 351
 352
 353
 354
 355
 356
 357
 358
 359
 360
 361
 362
 363
 364
 365
 366
 367
 368
 369
 370
 371
 372
 373
 374
 375
 376
 377
 378
 379
 380
 381
 382
 383
 384
 385
 386
 387
 388
 389
 390
 391
 392
 393
 394
 395
 396
 397
 398
 399
 400
 401
 402
 403
 404
 405
 406
 407
 408
 409
 410
 411
 412
 413
 414
 415
 416
 417
 418
 419
 420
 421
 422
 423
 424
 425
 426
 427
 428
 429
 430
 431
 432
 433
 434
 435
 436
 437
 438
 439
 440
 441
 442
 443
 444
 445
 446
 447
 448
 449
 450
 451
 452
 453
 454
 455
 456
 457
 458
 459
 460
 461
 462
 463
 464
 465
 466
 467
 468
 469
 470
 471
 472
 473
 474
 475
 476
 477
 478
 479
 480
 481
 482
 483
 484
 485
 486
 487
 488
 489
 490
 491
 492
 493
 494
 495
 496
 497
 498
 499
 500
 501
 502
 503
 504
 505
 506
 507
 508
 509
 510
 511
 512
 513
 514
 515
 516
 517
 518
 519
 520
 521
 522
 523
 524
 525
 526
 527
 528
 529
 530
 531
 532
 533
 534
 535
 536
 537
 538
 539
 540
 541
 542
 543
 544
 545
 546
 547
 548
 549
 550
 551
 552
 553
 554
 555
 556
 557
 558
 559
 560
 561
 562
 563
 564
 565
 566
 567
 568
 569
 570
 571
 572
 573
 574
 575
 576
 577
 578
 579
 580
 581
 582
 583
 584
 585
 586
 587
 588
 589
 590
 591
 592
 593
 594
 595
 596
 597
 598
 599
 600
 601
 602
 603
 604
 605
 606
 607
 608
 609
 610
 611
 612
 613
 614
 615
 616
 617
 618
 619
 620
 621
 622
 623
 624
 625
 626
 627
 628
 629
 630
 631
 632
 633
 634
 635
 636
 637
 638
 639
 640
 641
 642
 643
 644
 645
 646
 647
 648
 649
 650
 651
 652
 653
 654
 655
 656
 657
 658
 659
 660
 661
 662
 663
 664
 665
 666
 667
 668
 669
 670
 671
 672
 673
 674
 675
 676
 677
 678
 679
 680
 681
 682
 683
 684
 685
 686
 687
 688
 689
 690
 691
 692
 693
 694
 695
 696
 697
 698
 699
 700
 701
 702
 703
 704
 705
 706
 707
 708
 709
 710
 711
 712
 713
 714
 715
 716
 717
 718
 719
 720
 721
 722
 723
 724
 725
 726
 727
 728
 729
 730
 731
 732
 733
 734
 735
 736
 737
 738
 739
 740
 741
 742
 743
 744
 745
 746
 747
 748
 749
 750
 751
 752
 753
 754
 755
 756
 757
 758
 759
 760
 761
 762
 763
 764
 765
 766
 767
 768
 769
 770
 771
 772
 773
 774
 775
 776
 777
 778
 779
 780
 781
 782
 783
 784
 785
 786
 787
 788
 789
 790
 791
 792
 793
 794
 795
 796
 797
 798
 799
 800
 801
 802
 803
 804
 805
 806
 807
 808
 809
 810
 811
 812
 813
 814
 815
 816
 817
 818
 819
 820
 821
 822
 823
 824
 825
 826
 827
 828
 829
 830
 831
 832
 833
 834
 835
 836
 837
 838
 839
 840
 841
 842
 843
 844
 845
 846
 847
 848
 849
 850
 851
 852
 853
 854
 855
 856
 857
 858
 859
 860
 861
 862
 863
 864
 865
 866
 867
 868
 869
 870
 871
 872
 873
 874
 875
 876
 877
 878
 879
 880
 881
 882
 883
 884
 885
 886
 887
 888
 889
 890
 891
 892
 893
 894
 895
 896
 897
 898
 899
 900
 901
 902
 903
 904
 905
 906
 907
 908
 909
 910
 911
 912
 913
 914
 915
 916
 917
 918
 919
 920
 921
 922
 923
 924
 925
 926
 927
 928
 929
 930
 931
 932
 933
 934
 935
 936
 937
 938
 939
 940
 941
 942
 943
 944
 945
 946
 947
 948
 949
 950
 951
 952
 953
 954
 955
 956
 957
 958
 959
 960
 961
 962
 963
 964
 965
 966
 967
 968
 969
 970
 971
 972
 973
 974
 975
 976
 977
 978
 979
 980
 981
 982
 983
 984
 985
 986
 987
 988
 989
 990
 991
 992
 993
 994
 995
 996
 997
 998
 999
 1000
 1001
 1002
 1003
 1004
 1005
 1006
 1007
 1008
 1009
 1010
 1011
 1012
 1013
 1014
 1015
 1016
 1017
 1018
 1019
 1020
 1021
 1022
 1023
 1024
 1025
 1026
 1027
 1028
 1029
 1030
 1031
 1032
 1033
 1034
 1035
 1036
 1037
 1038
 1039
 1040
 1041
 1042
 1043
 1044
 1045
 1046
 1047
 1048
 1049
 1050
 1051
 1052
 1053
 1054
 1055
 1056
 1057
 1058
 1059
 1060
 1061
 1062
 1063
 1064
 1065
 1066
 1067
 1068
 1069
 1070
 1071
 1072
 1073
 1074
 1075
 1076
 1077
 1078
 1079
 1080
 1081
 1082
 1083
 1084
 1085
 1086
 1087
 1088
 1089
 1090
 1091
 1092
 1093
 1094
 1095
 1096
 1097
 1098
 1099
 1100
 1101
 1102
 1103
 1104
 1105
 1106
 1107
 1108
 1109
 1110
 1111
 1112
 1113
 1114
 1115
 1116
 1117
 1118
 1119
 1120
 1121
 1122
 1123
 1124
 1125
 1126
 1127
 1128
 1129
 1130
 1131
 1132
 1133
 1134
 1135
 1136
 1137
 1138
 1139
 1140
 1141
 1142
 1143
 1144
 1145
 1146
 1147