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September 2, 2014

Search: Math- Rational Functions

Number of results: 93,880

Calculus
We're learning about different kinds of functions and I don't really understand the difference between rational and algebraic functions. I know that rational functions are functions that are a ratio of two polynomials, and algebraic functions are any functions that can be made...
September 13, 2007 by Kelly

MATH _ GRAPHING RATIONAL FUNCTIONS
When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
October 14, 2007 by Anonymous

Math- Rational Functions
1. Some rational functions have asymptotes, others have holes, and some have both. Explain how you can identify, without graphing, which graphical features a rational function will have. Can someone explain this thoroughly ? I don't understand. thanks in advance.
October 5, 2008 by Mae

math
hello, i have some question about rational functions. 1) are there any sites that are good in teaching graphing rational functions? 2) for the domain of the rational function it is what the denominator cannot equal to rite? for example the denominator of x^2-7x+10 can be ...
October 23, 2007 by julie

Gr.11 - Rational functions graphing.
1. Identify a rational function whose graph is a horizontal line except for two holes. Graph the function. 2. Identify a rational function who graph lies entirely above the x-axis and has a single vertical asymptote. Graph the function. 3. Identify a rational function who ...
October 6, 2008 by Mae

calculus: Rational Functions
I do not understand how to complete rational functions: ie: As x (arrow) -3, f(x) (arrow) ?. Our book sucks and our instructor is little help. Thank you.
April 1, 2008 by Pam

Math Rational Functions-Please Clarify =)
I have a question about the rational function I recently posted. Would the range still be (-∞,2)U(2,∞) if the rational function is what Reiny posted "(2x^2-18)/(x^2+3x-10)." The y-intercept confuses me because its (0,1.8) and when I look at the line it passes ...
October 15, 2012 by Enlia

Math
For the given functions, write the rational function, r(x) = [f(x-h)-f(x)]/h and simplify: a. F(x) = 2x+3 b. F(x) = 1/(x+1) c. F(x) = x^2 --- Just need to know that the rational function is and maybe I can do the questions. Thanks.
February 9, 2010 by Anonymous

Math advance functions gr 12
Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
April 1, 2013 by alex

Pre-Calculus
Rational Functions y = (x^2+7x-4)/(x-2) Since the degrees of both the numerator and denominator are the same, I would use the leading coefficient, and both the rational functions start with 1, so would the horizontal asymptote be 1? Also dont get how to find the horizontal ...
October 2, 2012 by Shreya

Algebra
Graph and label the following two functions: f(x)=(x^2+7x+12)/(x+4) g(x)=(-x^2+3x+9)/(x-1) 1. Describe the domain and range for each of these functions. 2. Determine the equation(s) of any asymptotes found in the graphs of these functions, showing all work. 3. Discuss the ...
May 2, 2011 by Debra

Math-Rational #'s
Just trying to understand this. Please let me know if I did these right. Thanks!!! -7 as a rational # = -7/10 -3.03 as a rational # = -33/10 -2 3/12 as a rational # = -25/12 1.03 as a rational # = 13/10
March 15, 2010 by Kate

advance functions gr12 HELP ASAP
using rational functions solve (x+5)/(x-3)= (2x+7)/(x) thank you
April 2, 2013 by ALEX

advance functions gr12 HELP ASAP
Using rational functions solve 7+ (1)/x = 1/(x-2) thank you
April 2, 2013 by james

advance functions gr12 (SORRY LAST ONE HAD A TYPO)
Using rational functions solve 7+ (1)/x = 1/(x-2)
April 2, 2013 by james

advance functions gr12
Using rational functions solve (7+ 1)/x = 1/(x-2)
April 2, 2013 by james

Math
Use your knowledge of exponents to solve. a) 1/2^x=1/(x+2) b) 1/2^x>1/x^2 So I know that these functions are rational functions.. and I am trying to solve for x. I tried to solve them by I keep getting stuck with the exponent 2 which is the exponential function.. Help please
June 7, 2009 by Halle

rational functions
A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
January 27, 2007 by luke

Math Rational Functions
What is the domain and range of 2x^2-18/x^2+3x-10
October 15, 2012 by Enlia

rational functions... PLEASE HELPPPPP
A rational function that passes through (0,0) and (4, 8/7) has the x-axis as a horiztonal asympotote. It also has 2 vertical asymptotes x=3, x=-3. I understand that to set it up, it is y= ax+b / (x+3)(x-3). I dont understand how to solve for a and b.
January 27, 2007 by luke

Math rational exponents
what is the domain of these functions? y= -1/5x^(-1/3) and y=10x^ (-1/6)
November 14, 2010 by Charm

advance functions gr 12
Using rational functions solve 3(numerator) 2x-4 (denominator) < (with a "-" underneath) 4 (numerator) x-2(demominator)
April 1, 2013 by james

advance functions gr 12
Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
April 1, 2013 by Fadak

advance functions gr 12
Using rational functions solve x+5(numerator) x-3 (denominator) = 2x+7 (numerator) x(demominator)
April 1, 2013 by Fadak

advance functions gr 12
Using rational functions solve 7+ 1(numerator) x (denominator) = 1 (numerator) x-2(demominator)
April 2, 2013 by james

Math (calc)
Given the function: f(x)=x^3(x-2)^2 , on the interval [-1,3] find the domain and Asymptotes ...Isn't the domain (-1<x<3) ? and as for the asymptotes I thought you could only find them for rational functions and since that function is not rational I guess there aren't any...
November 7, 2009 by Elizabeth

Algebra 1
Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
May 16, 2014 by Anonymous

Algebra 1
Which values should I use to graph the rational function y = 1/x-2 - 6? (The asymptotes are x = 2; y = -6.) Also, what method could I use to choose values for graphing rational functions?
May 16, 2014 by Victoria

****college algebraradical functions****
Create a rational function such that the graph of has vertical asymptotes at x=5 and x= -7, a hole at x=2 , and a horizontal asymptote at y = 14. By creating a rational function, you are to write rule for this function. There are many correct solutions here.
October 16, 2011 by Brianna

Math
2-4 paragraphs plus two graphs Details: Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as...
January 21, 2008 by Nathan

Math
Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
October 28, 2006 by Vianna

math advanced functions grade 12
Find the solution set to the following rational inequality, 240/x+8 > 20x/x+1
July 24, 2012 by illiah

math
What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
November 17, 2013 by B8

math- please help
What is the best sequence of names to identify this set of numbers? (1 3/5,-10, 0.51(the one is repeating), TT,17) 1.(rational,integer,irrational,irrational,natural) 2. (rational,irrational,rational, irrational, whole) 3.rational,real,rational,real, natural) 4. (real,integer, ...
November 17, 2013 by B8

Functions
what is the oblique asymptote of this rational function: (x ^ 3) / (x ^ 2+1)
April 18, 2013 by Lg

Math
I just wanted to check my answers with anyone willing to take the time. Identify all sets that -3/4 belongs to: a.whole #s, integers, rational #s b.rational #s c.integers, rational #s d.odd #s, whole #s, integers, rational #s Ithought it was C How many centimeters are equal to...
December 14, 2006 by Katie

Algebra II
Give the equations of any horizontal asymptotes for the graphs of the rational functions. h(x)=(7x-8x-5)/(8x-3x+9) g(x)=(x+4x-8)/(x-8)
July 6, 2011 by CC

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x+7)
July 6, 2011 by Reanna

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(3x+6x-6)/(x+3x-10)
July 6, 2011 by Reanna

Algebra II
Give the equations of any vertical asymptotes for the graphs of the rational functions. f(x)=(x-4)/(x+7)
July 7, 2011 by Matt

advanced functions
simplify the rational expression x^4+3x^3-2x^2-6x/x^3-2x stating all restrictions on the variable.
July 30, 2010 by tim

Algebra
Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of ...
October 29, 2006 by V

Math(dispute to previous question)
2)Name the sets of numbers to which 457 belongs. (answer)natural,whole,integers,rational,reals My book says that every REAL number has to be rational or irrational. Blueridge said that my answer was correct except to exclude rational from my list. From what my book says I HAVE...
February 24, 2008 by Jon

Functions in Math
Im looking at internet sites and Im not quite understanding functions. I have a question like; A function f(x) has the properties i) f(1) = 1 ii) f(2x) = 4f(x)+6 Could you help me out. I know nothing about functions.
October 15, 2007 by Lena

rational functions
If f(x) is a polynomial function, does 1/f(x) always have a horizontal asymptote? Explain why or why not and provide a counterexample if needed.
May 2, 2009 by Anonymous

math
HELP. Help I have to decide whether these are rational or irrational. .73737373... .61611611161111..... 1/23 Can someone explain this to me? Rational numbers are just fractions. The decimal expansion of fractions will either terminate or it will become periodic after a while. ...
May 6, 2007 by Kimberly

9th grade
Name the set(s) of numbers to which 1.68 belongs. a. rational numbers b. natural numbers, whole numbers, integers, rational numbers c. rational numbers, irrational numbers d. none of the above my answer a)rational numbers
September 20, 2010 by Ross

Math - Rational Roots
1.) What are the possible rational roots of the function f(x) = 3x^4 - x - 2 2.) What are the rational roots of the following equation: x^3 - 4x^2 - 4x +16 = 0 Thank you for any help!
September 12, 2010 by Julia

Maaaaath
When graphing rational functions, how do I know which directions the graphs go? Example, for equation y = 9/x - x, how would you graph this? Also, why is the horizontal asymptote for f(x)= 2+x / x-7 is 1 instead of 0?
October 14, 2007 by Anonymous

math
If a b c are non zero,unequal rational numbers then prove that the roots of the eqn (abc) x+ 3acx+bcx-6a-ab+2b=0 are rational.
July 7, 2014 by vaish

math
which statement is false? A: 3.648 reapeating=is rational B:-3 2/13=rational
February 15, 2013 by Taylor

Math
Identify all sets to which the number 3 belongs A. Whole numbers, integers, rational numbers B. Rational numbers C. Integers, rational numbers D. Even numbers, whole numbers, integers, rational numbers I THINK IT'S A
December 12, 2012 by Frances

advanced functions/precalculus
1. The function f(x) = (2x + 3)^7 is the composition of two functions, g(x) and h(x). Find at least two different pairs of functions g(x) and h(x) such that f(x) = g(h(x)). 2. Give an example of two functions that satisfy the following conditions: - one has 2 zeros - one has ...
January 15, 2014 by Diane

math help me!!
is square root of 56 a rational number? explain uranswer using what you know about rational and irrational numbers. thnx alot!
April 13, 2011 by alexis

math,help,bobpursly
What are some challenges for rational expressions? Also on my previous question about why are polynomials important bobpursly can you expalin it to me towards what you ment about your responce because i still do not undertand...thanks when you get a chance. Polynomials are ...
March 5, 2007 by jas20

6TH GR. ALGEBRA
EXTENDING THE LESSON If you add any two rational numbers, the sum is always a rational number. So, the set of rational numbers is closed under addition. Is the set of rational numbers closed under subtraction. multiplication,and division also? Explain.
December 16, 2009 by Amelia

algebra1
I have a question does anyone have the Rational Expressions and Functions Unit Test questions and answers?? If you can you plzz help me out i am almost done
May 19, 2014 by Tommy

math
List all possible rational zeros of... h(x)= 2x to the (4th power) - 5x (to the third power) + 3x (to the 2nd power) + 4x - 6 Use the Rational Roots Theorem. Any root of the form p/q with p and q relatively prime must be such that p divides 6 and q divides 2. You then find the...
May 21, 2007 by Kate

Calculus
Find the sum and difference functions f + g and f g for the functions given. f(x) = 2x + 6 and g(x) = 2x - 6 f(x) = x^2 - x and g(x) = -3x + 1 f(x) = 3x^3 - 4 and g(x) = -x^2 + 3 State the domain and range for the sum and difference functions in #3. Find the product and the ...
September 2, 2013 by Bee

discrete math
1)prove that if x is rational and x not equal to 0, then 1/x is rational. 2) prove that there is a positive integers that equals the sum of the positive integers not exceeding it. Is your proof constructive or nonconstructive? For 1) use the definition of a non-zero rational ...
September 28, 2006 by thisha

Precalculus
I'm HOPING this is the last problem I need help on.. :-/ List the possible rational zeros of f using the rational zero theorem. f(x) = 2x^3 - x^2 + 5x + 6 I applied the rational zero theorem, but none of the factors worked :(
September 17, 2009 by Emily

math test
Hi! I have a math test coming up tomorrow, and I need to prepare. but,i dont know how I should. . . any help would be great. she told us to: Be prepared to identify and explain functions, linear functions and proportional functions. Be prepared to use the new function notation...
October 11, 2007 by Keon

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(x-17)^2/(x+12)^3
December 18, 2012 by Shasta

Math 11 - Rational Expressions
I really don't understand how you find or identify the restrictions at all for rational expressions, can someone talk me thru it? I have a math exam Monday and I'm stressed. Thanks. Here are some examples for my textbook if needed... 1) 2x + 1 / 2x - 1 2) x-5 / x^2 + 3x + 2 3...
June 20, 2014 by M.

Calculus
Math questions, please help me? :(? Find the composite functions f o g and g o f for the given functions. f(x) = 10^x and g(x) = log x State the domain and range for each: f(x) = 4x + 1 and g(x) = x^2 f(x) = sin x and g(x) = x^2 - x + 1 f(x) = 10^x and g(x) = log x If f = {(-2...
September 2, 2013 by Britt

Calculus
Which of these rational functions has a ) horizontal asymptote? a slant asymptote? no vertical asymptote? r(x)= 2x-1/ x^2-x-2 = 2x-1/ (x-2)(x+1) s(x)= x^3+27/x^2+4 = (x+3)(x^2-3x+9)/(x-2)(x+2) t(x)=x^3-9x= x(x-3)(x+3)/x+2 u(x)=x^2+x-6/x^2-25= (x+3)(x-2)/(x+5)(x-5) I do not ...
October 12, 2009 by Anonymous

algebra
Find the LCD for the given rational expressions, and convert each rational expression into an equivalent rational expression with the LCD as the denominator. 4/x-y , 5/2y-2x
July 13, 2009 by Joe

Math
Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function. -2x^4+4x^3+3x^2+18
February 18, 2014 by John

math
which statement is false: A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
February 15, 2013 by Taylor

functions
Identify a rational function whose graph is a horizontal line except for two holes. Graph function.
September 29, 2010 by Tori

math
A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
February 15, 2013 by Taylor

math
A: 3.648 reapating 8= is rational B:-3 2/13= is rational C: 3.605551275464...=is irrational D: -3.744= is irrational
February 15, 2013 by Taylor

math
1. Which of the following numbers is an example of an integer? a. -15 b. 3/5 c. ^7 d. 0.252525... 2. Which statement is FALSE? a. Every integer is a real number. b. The number zero is a rational number. c. Every irrational number is a real number. d. Every real number is a ...
August 27, 2012 by Nyla

Math
use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g X f)^-1 Would the answer be x+1 over 2?
February 20, 2009 by Dan

Math
Which of these rational numbers does the Rational Roots Theorem say can't be a solution to 14x7 + 13x5 − 19x4 + 7x2 − 6x − 21 = 0? A. 3/2 B. 2/7 C. -1 D. -(1/2)
December 14, 2012 by Pat

Math
3) Explain how the laws of exponents work with rational exponents and give at least one example of an expression containing rational exponents... Please help.. I can't find the answer to this anywhere..
August 5, 2010 by June

Math
True or false Some rational numbers are integers. The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function
November 22, 2013 by KGK

Math
Some rational numbers are integers. True or false The radius of a circle and its circumference. Direct or inverse f(x) 0.08x^3 + 0.6x + 2.8 Rational function, another polynomial function Quadratic function.
November 22, 2013 by KGK

Algebra
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? doesn't arithemetic do something like a constant slope? I think so! ♥☻☺▬M!5U{A']○♥]
January 31, 2007 by Sandra

Math - Functions
For the real valued functions f(x) - |x| - 4 and g(x) = sqrt(5 - x) Find the composition of f o g and the domain in interval notation. Can someone help me solve this?
May 2, 2007 by UnstoppableMuffin

Math - Functions
Is it possible to graph linear functions like h(x) = 3x + 7 without doing a table of values? If it is, how? And I know the slope is 7, which means the y-intercept is (0,7).
December 18, 2007 by Anonymous

Math
Use the functions f(x)=x+4 and g(x)=2x-5 to find the specified functions. (g x f)^-1
March 25, 2009 by Jake

Algebra
Using rational zero theorem find all rational zeros P(x)=3x^3+43x^2+43x+27 Factors: 27, -1, 3, 9, 27 Factors: 3, -1, 3 +-1/3, +-1, +-3, +-9, +-27 possible rational zero for function P(x)
April 3, 2008 by Sara

Algebra 1
Which statement about real numbers is true? Across the heading says: real numbers. The first big circle says: rational numbers The second biggest circle inside rational numbers says: integers The third circle within the rational numbers says: whole numbers. Then there is a ...
January 23, 2014 by Cassie

calculus
A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. Find f(0) and lim x->...
November 14, 2011 by Gretchen

Calc
A rational function f(x) contains quadratic functions in both the numerator and denominator. Also the function f(x) has a vertical asymptote at x=5, a single x intercept of (2,0) and f is removeably discontinuous at x=1 because the lim x-> 1 is -1/9. Find f(0) and lim x->...
November 14, 2011 by Gretchen

math
for the given functions f and g, find the specified value of the following functions and state their domains: f(x)=x-5; g(x)=2x^2 a.(f+g)(3)= b.(f/g)(3)= Can someone help me figure this out? pleeeease????
March 27, 2013 by asia

ALGEBRA
SIMPLIFY: 5 ROOT OF 6X +4 ROOT OF 6X IS THE ROOT OF 77 IRRATIONAL OR RATIONAL? SIMPLIFY: 8 + ROOT OF 24 DIVIDED BY 2 IS THE ROOT OF 49/100 RATIONAL OR IRRATIONAL AND IS THE ROOT OF 121 RATIONAL OR IRRATONAL? SIMPLIFY: ROOT OF 3X/2 THANKS IN ADVANCE!!!I AM FLUNKING THIS MATH ...
June 10, 2007 by Tomika

Math
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 20sqrt(x^12)
April 17, 2010 by Help please

Math
Use rational exponents to simplify the radical. If rational exponents appear after simplifying, write the answer in radical notation. 3sqrt(2)/ 5sqrt(2)
April 17, 2010 by Help please

math :] 2
Is 14/3 a rational number? I think so... but I'm confused because if you divide 14 by 3 then the decimal part is .66666666666666666666667. Is that considered a repeating decimal? If it is, then it's a rational number. I'm just doubting because of the 7 at the end. THANKS SO ...
February 18, 2008 by LILY

math
Describe a method you can use to shorten the list of possible rational zeros when using the rational zero theorem? I know how to do the problems, I just don't know how to shorten that method. Please help me.
October 17, 2013 by Faith

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
April 2, 2013 by sam

Math
Are there more rational or irrational numbers? I am thinking irrational, because the product of a rational and irrational number is irrational. Is this enough of a reason to prove it?
January 28, 2013 by Chuck

Advanced Math.
List the possible rational roots of 2x^3 + 17x^2 + 23x - 42 = 0 My answer: the possible rational roots are {1, 2, 3, 6, 7, 14, 21, 42. 1/2, 3/2, 7/2, 21/2}. Correct?
March 23, 2009 by Jamie

Algebra
Use composition of functions to show that the functions f(x) = 5x + 7 and g(x)= 1/5x-7/5 are inverse functions. That is, carefully show that (fog)(x)= x and (gof)(x)= x.
July 29, 2009 by Alicia

Algebra 2
i am stuck. Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
March 31, 2010 by brenna

Algebra
Use the Rational Theorem to list the possible rational roots. f(x)=x^2+2x+1 f(x)=x^2-2x+5 f(x)=x^2+4x-5
March 21, 2010 by Paula

algebra
Anyone? Prove that if a and b are rational numbers, (a + ^b)3 + (a - ^b)3 is also rational. ^ = sq root sign Thanks
March 31, 2010 by brenna

maths
Prove that if p and q are rational and p is not equal to 0, the roots of the quadratic equations p x(square) + 2qx -p +2q = 0 are rational.
August 9, 2013 by Jayden Haddy

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