Parts A-B are together

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 11T: Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6...
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Parts A-B are together

3. Imagine a rational function f(x) with the following properties:
• An x-intercept at (-2,0).
• A hole at (4, ƒ (4)) and a vertical asymptote at x = 1.
• End-behavior given by lim,→∞ f (x) = 2 and lim,→-∞f (x) = 2
(a) Write the equation of a rational function that has the features described above. For each decision you make, explicitly
describe how you made the decision.
Transcribed Image Text:3. Imagine a rational function f(x) with the following properties: • An x-intercept at (-2,0). • A hole at (4, ƒ (4)) and a vertical asymptote at x = 1. • End-behavior given by lim,→∞ f (x) = 2 and lim,→-∞f (x) = 2 (a) Write the equation of a rational function that has the features described above. For each decision you make, explicitly describe how you made the decision.
(b) Draw the graph of the equation you wrote in part (a).
Transcribed Image Text:(b) Draw the graph of the equation you wrote in part (a).
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