I forgot how to look for the asymptote from an equation.. can someone please help me out? example: y= x/(x+1) what's the asymptote in this case? Thanks
34,212 results
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?

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)

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)

Math
f(x) = tan x / sin x Find the vertical asymptote. Describe its behavior to the left and right of the vertical asymptote.

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

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

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

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

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

math
Give an example of a rational function that has no horizontal asymptote and a vertical asymptote at x = 1.

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

math
Use the exponential equation f(t)=3(0.92)^t + 7 to answer the questions. A: What is the equation of the horizontal asymptote in this function? B: What is the base of the power? C: What is the initial value, f(0)?

Math
20. (4 points) 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 xintercepts

AP Calculus
 Which of the following is false for f(x) = (5x^35x^210x)/(2x^52x) a) The xaxis is an asymptote of f(x) b) x = 1 is not an asymptote of f(x). c) x = 1 is an asymptote of f(x). d) The yaxis is an asymptote of f(x). Thanks

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.

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

pre cal
f(x)= log2 (x1).The vertical asymptote of the function f(x) has equation:?

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 ).

math
There is a vertical asymptote at x=2, and a horizontal asymptote at y=3. Construct a suitable rational function f(x).

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

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

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=

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

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)

Algebra
Enter the equations of the asymptotes for the function f(x) . f(x)= −(2/x+4) − 6 Vertical Asymptote: ? Horizontal Asymptote: ?

Math
what is the equation for the vertical asymptote of 5x^47/2x+3

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

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

maths
find the encentricity,the foci and vertex and the equation of directrix and asymptote to the equation give the ellipse below 25x^2+4y^250x16y59=0

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

Math Advanced Functions
1. Write an equation of a rational function that satisfies all of these conditions (6 marks)  Vertical asymptote at x = 8 and x = 5  Horizontal asymptote at y = 0  xintercept at (2, 0)  f(0) = 2  has a hole at x = 3

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

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

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

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!

calculus
f(x)= (5x^4 + 5x^3 + 6x^2 + 8x + 5)/(1x^4 + 1x^3 + 1x^2  9x + 4) What is the equation of the horizontal asymptote? y = ___? Does the graph of f(x) intersect its horizontal asymptote? (yes or no) If yes, at what xvalues does f(x) intersect its horizontal

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

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

pre calculus
use the seven step method to graph the following rational function: f(x)=3x^2+x4/2x^25x a. determine the symmetry of the function. b. find the x and y intercepts. c. find the verticle asymptote d.find the horizontal asymptote e.plot the points between

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???

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

Calculus
Solve the differential equation dy/dx = xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct? Now I forgot how to find the equation. Thank you!

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)

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]

math
how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no xintercept; yintercept is 3

Advanced Alg.
I forgot how to look for the asymptote from an equation.. can someone please help me out? example: y= x/(x+1) what's the asymptote in this case? Thanks.

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

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

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?

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

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

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

Maths
There is a graph with maximum point (2,5) and an asymptote y=1.Sketch the curve with equation y=f(x)+2? Does the asymptote change?

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)

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?

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

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)

Algebra I
Ok so I kind of forgot how to do this so I looked up on the internet and was told divide the coefficent in the numerator of the highest degree by the highest coeficent of the highest degree in the numerator and that should be your horizontal asymptote one

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.

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

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

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)

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

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)

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)

math
Determine an equation of a rational function of the form with xintercept of 1/4, yintercept of 1/2, vertical asymptote at x = 2/3, and horizontal asymptote at y = 4/3.

Trigonometry
F(X) = 2x^35x^219x+1 / x^29....I need the vertical asymptote, horizontal asymptote and the slant asymptote...please help!

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)

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?

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?

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

Math (Integrals)
The area A between the graph of the function: g(t) = 4  (4/t^2) and the taxis over the interval [1, x] is: A(x) = ∫[1, x] (4  (4/t^2)) dt a) Find the horizontal asymptote of the graph g. I believe the horizontal asymptote of graph g is g(t) = 4. b)

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

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?

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=

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):

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

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

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

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

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)?

math
write equation of hyperbola with cebter c(4,2) vertex (4,5) equation of one asymptote 4y3x=4

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

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.

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.

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

Math
Very simply, what is an asymptote? If given a graph, how would you go about locating the asymptote? Thanks.

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).

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

maths
sketch the equation of the asymptote y=0 or e^(3x)=0

Pre Calc
f(x)=e^2x1 +3 **(2x1) is the power** what is the equation of asymptote

Pre Calc
f(x)=e^(2x1) +3 Find the equation of asymptote

Math
For y=f(x+2) 3 write an equation of the asymptote to the graph. Is it y=(1/x) * (x+2)3

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.

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

calculus
what is the vertical asymptote and horizontal asymptote of f(x) =1/4x^4(3/2)x^(1/2)

equation of exp function
What equation has the following features: It has the xaxis as an asymptote and it passes through (0, 1), (1,3) and (2,9)?

math
how do you create a function that has a graph with the given features: a. A vertical asymptote at x=2; a horizontal asymptote at y=0; no xintercept; yintercept is 3 please help.

math
Use the given function to answer the following questions. g(x) = (5 x^2) / (x + 1) Without graphing, find the oblique asymptote. If there is no oblique asymptote, enter NONE.

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