6. Imagine a rational function f(x) with the following properties:• An x-intercept at (5,0).• A hole at (2, f(2)) and a vertical asymptote at x = -4.• End-behavior given by lim- (x) = } and lim→-∞ f(x) = }(a) Write the equation of a rational function that has the features described above. For each decision you make, explicitlydescribe how you made the decision.

Given x intercept at (5,0) we know that x intercept at (5,0) then factor is (x-5) Also given that…

Imagine a rational function f(x) with the following properties: • An x-intercept at (5,0). • A hole at (2, f(2)) and a vertical asymptote at æ = -4. • End-behavior given by lim,→∞ f(x) = } and lim,→-∞ f(x) = } (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.

Imagine a rational function f(x) with the following properties: • An x-intercept at (5,0). • A hole at (2, f(2)) and a vertical asymptote at æ = -4. • End-behavior given by lim,→∞ f(x) = } and lim,→-∞ f(x) = } (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.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter4: Polynomial And Rational Functions

Section4.5: Rational Functions

Problem 54E

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