Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes, and sketch a graph of the rational function. State the domain and range of the function. Rational Functions with Holes Find the factors that are common in the numerator and the denominator. Then findthe intercepts and asymptotes, and sketch a graph of the rational function. State the domain and range of thefunction.x²+4x-5r(x) =x2+x-2

Answered: Image /qna-images/answer/70deb8d3-4f58-416b-a2c2-8befb52b6621.jpg

Rational Functions with Holes Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes, and sketch a graph of the rational function. State the domain and range of the function. x²+4x-5 r(x) = x²+x-2

Rational Functions with Holes Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes, and sketch a graph of the rational function. State the domain and range of the function. x²+4x-5 r(x) = x²+x-2

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section: Chapter Questions

Problem 87E

See similar textbooks

Related questions

Q: Graph the rational function f(x)=2x^2-5x-3/x^2-4. Find the domain, range, any vertical and…

A: Givenf(x)=2x2-5x-3x2-4.To findgraph, domain,range and asymptotes(if any)

Q: HW17 Find the horizontal asymptote, if any, of the graph of the rational function. g(x) =…

Q: Let r(x)=p(x)/q(x) be the rational function graphed below, where p and q are polynomials that have…

A: p(x) has zeros and degrees: x= -4 (odd) x= 6 (even) When x=-4 is a zero then (x+4) is a factor.…

Q: Graph the rational functions Include the graphs andequations of the asymptotes and dominant terms. y…

A: Given To draw graph

Q: Give the equations of any vertical, horizontal, or oblique asymptotes for the graph of the rational…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A: Solve

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: Definition used - x-intercept - For finding x -intercept we equate y =0 and solve for x.…

Q: 51 The graph below is the graph of a rational function. The y-i intercepts. What are the equations…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: Determine the domain and the equations of the asymptotes for the graph of Ay the rational function.…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A: Any point x=a is a point of vertical asymptotes if limit at x=a is infinite. Any point x=b is a…

Q: Graph the rational functions . Include the graphs and equations of the asymptotes. 1.y=x2/(x-1) 2.…

A: Given that the rational function, To calculate the equation of asymptotic. For a rational function,…

Q: Find all zeros and vertical asymptotes of the rational function - 1 f(x) : –x3 – x² If there is more…

A: Given; fx=x3-1-x3-x2 (a). To calculate the x-intercepts, we need to solve for x after substituting…

Q: 4. Given the rational function: R(x) = .Simplify R(x). x' - 4x a) State the equations of all…

A: Since you have posted a question with multiple sub-parts, we will solve the first three sub-parts…

Q: x3-4x2 (x-2)2 Given the rational function r(x)= (a) Find all intercepts and asymptotes of r. (b)…

Q: The x-intercept is marked with a point located at (3,0), and the y-intercept is marked with a point…

A: Given Data: The x-intercept of the function is: x0=3 The y-intercept of the function is: y0=-1.5…

Q: 22. Find all the horizontal and vertical asymptotes for the rational function listed below. Remember…

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A: Given : fx=x+3 xx-1

Q: (a)State a rational equation with 2 vertical asymptotes and an oblique asymptote. (b)State a…

A: a). Since the vertical asymptote is 2, therefore the value of denominator must be zero when x=2.…

Q: Can you help with this problem step by step?

A: Given, function is

Q: Graph the rational functions . Include the graphs and equations of the asymptotes and dominant…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine the zeroes of the give rational functions (with solution)

Q: ) Find the intercepts and asymptotes. (If an answer does not exist, enter DNE. Enter your asymptotes…

Q: x3- 9x (x - 1)2 Given the rational function r(x)= (a) Find all intercepts and asymptotes of r. (b)…

Q: Graph the rational functions . Include the graphs and equations of the asymptotes. 1.y=(x2-1)/(2x+4)…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Can you help with this problem step by step?

A: The given function is

Q: x°+ 5x2 Given the rational function r(x)= (x + 2)2 (a) Find all intercepts and asymptotes of r. (b)…

A: Given, The rational function is rx=x3+5x2x+22.

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: See attachment

A: Consider the given function.

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: x+ 3x2 Given the rational function r(x)= (x +2)? (a) Find all intercepts and asymptotes of r. (b)…

A: Given, The rational function is rx=x3+3x2x+22.

Q: Find the horizontal asymptote, if it exists, of the rational function below. If the function does…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

A: Given , h(x)=xx(x-8) To calculate the vertical asymptotes and holes for the given rational function.

Q: a. Find the slant asymptote of the graph of the rational function. b. Follow the seven-step strategy…

A: We are entitled to answer three sub parts. Please resubmit the question which you wish to get…

Q: (x + 1)(x – 63) For what values of æ does the rational function f(x) = 18- (x – 51)(x + 9)(x + 95)…

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: Given the rational function f (z) = 2 identify the attributes. The x-intercept is v Algebraically…

Q: Printing A printer has a contract to run 20,000 postersfor a state fair. He can use any number of…

A: Printing A printer has a contract to run 20,000 postersfor a state fair. He can use any number of…

Q: Find a possible formula for the function graphed below. The x-intercepts are marked with points…

Q: Match the rational function with the appropriate description below. x2 - 9 f(x) = - x- 3 Choose the…

Q: factored form 7) Using r(x) = x-9 2x+1 %D a) Graph the rational function. Show clearly all x- and y-…

Q: Write an equation for a rational function whose graph has all of the indicated features.

A: Write an equation for a rational function whose graph has all of the indicated features. -…

Q: Create an equation for a rational function whose graph has all of the indicated features: ***Clearly…

A: x - intercept of 3: y = (x-3) Now, y(0) = 2.25 ; y - intercept of 2.25 : y = -0.75(x-3)

Q: Find the factors that are common in the numerator and the denominator. Then find the intercepts and…

A: Given that r(x) = x2+3x-10x+1x-3x+5 To factor of numerator x2+3x-10 = x2+5x-2x+10…

Q: 2x-1 (b) The function g(x) is a rational function, hence the domain is the set of values of x such…

A: Range of the function

Q: Find the vertical asymptotes, if any, and the values of x corresponding to holes, if any, of the…

Q: Find all zeros and vertical asymptotes of the rational function x2 – 1 f(x) = x² + 1 If there is…

A: given

Q: For the rational function, f(x)=x-34/x^2+15x+14 (a)Find the Domain of the function The Domain…

Question

Find the factors that are common in the numerator and the denominator. Then find the intercepts and asymptotes, and sketch a graph of the rational function. State the domain and range of the function.