Consider the following rational function:q(x)=4(x-1)(x+2)/2(x+1)(x-3)=4x^2+4x-8/2x^2-4x-6Find the domain, x-intercepts, y-intercepts, horizontal asymptotes, and vertical asymptotes. (Use two letter o's for infinity and a minus sign then two letter o's for negative infinity)The domain is (,)U(,)U(,).The x-intercepts are: (,0), (.0). (Smallest first.)The y-intercept is: (0,). (Do no round, if it is a fraction type as 1/2).The horizontal asymptote(s) are/is: . (Type in the equation of the asymptote.)The vertical asymptote(s) are/is: . (Type in the equation(s) of the asymptote(s), separate by a comma if more than one. (Smallest number first.)).

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Answered: Consider the following rational…

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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Consider the following rational function:

q(x)=4(x-1)(x+2)/2(x+1)(x-3)=4x^2+4x-8/2x^2-4x-6

Find the domain, x-intercepts, y-intercepts, horizontal asymptotes, and vertical asymptotes. (Use two letter o's for infinity and a minus sign then two letter o's for negative infinity)

The domain is (,)U(,)U(,).
The x-intercepts are: (,0), (.0). (Smallest first.)
The y-intercept is: (0,). (Do no round, if it is a fraction type as 1/2).
The horizontal asymptote(s) are/is: . (Type in the equation of the asymptote.)
The vertical asymptote(s) are/is: . (Type in the equation(s) of the asymptote(s), separate by a comma if more than one. (Smallest number first.)).

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