a) Determine an equation of the formax + bf(x)=for the rational function withcx + dx-intercept 2, vertical asymptote at x = -1,1= ——and horizontal asymptote at y2b) Is it possible for another function to havethe same key features? If not, explain whynot. If so, provide an example.

a) Determine an equation of the form f(x)= (ax+b)/(cx+d) for the rational function with x-intercept…

Answered: a) Determine an equation of the form ax…

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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Similar questions

The quadratic function f(x)=a(xh)2+k is in standard form. (a) The graph of f is a parabola with vertex(____,____). (b) If a > 0, graph of f opens _____. In this case f(h) = k is the _________value of f. (c) If a < 0, graph of f opens _____. In this case f(h) = k is the______valueof f.
Consider the following rational functions: r(x)=x2x22x1 s(x)=x2+4x3+27 t(x)=x+2x39x u(x)=x225x2+x6 w(x)=x+3x3+6x+9x (a) Which of these rational functions has a horizontal asymptote? (b) Which of these functions has a slant asymptote? (c) Which Of these functions has no vertical asymptote? (d) Which Of these functions has a "hole"? (e) What are the asymptotes of the function r(x) ? (f) Graph y =u(x) , showing clearly any asymptote and x- and y intercepts the function may have. (g) Use long division to find a polynomial P that has the same end behavior as t. graph both P and t on the same screen to verify that they have the sane end behavior.

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a) Determine an equation of the form ax + b cx + d f(x) x-intercept 2, vertical asymptote at x = -1, 1 and horizontal asymptote at y = for the rational function with IN b) Is it possible for another function to have the same key features? If not, explain why not. If so, provide an example.