(f) Graph y = u(x), showing clearly any asymptotes and x- and y-intercepts the function may have.yy101010-1010-5-10--10y10-10- 1010- 1010WebAssign Plot-5- 10- 10(g) Use long division to find a polynomial P(x) that has the same end behavior as t(x).P(x) = -x2 + 2x – 5O P(x) = -x3 + 18x – 2O P(x) = x2 - 2x – 5O P(x) = x3 - 18x + 2P(x) = 10 Consider the following rational functions.2х- 1x3 + 27x3 – 9xx2 + x – 2x2 – 25(a) Which of these rational functions has a horizontal asymptote? (Select all that apply.)r(x) =x2s(x) =x3+ 6x² +t(x) =u(x) =w(x) =+ 9xх— 2x2 + 25x + 2x + 3n r(x)n S(x)n t(x)n u(x)n w(x)(b) Which of these functions has a slant asymptote? (Select all that apply.)r(x)n s(x)n t(x)n u(x)n w(x)(c) Which of these functions has no vertical asymptote? (Select all that apply.)r(x)n s(x)n t(x)n u(x)n w(x)(d) Which of these functions has a "hole"? (Select all that apply.)n r(x)n s(x)t(x)n u(x)n w(x)(e) What are the asymptotes of the function r(x)? (Enter your answers as a comma-separated list of equations.)

Since there are multiple subparts the first three subparts is answered.Kindly repost with the…

Consider the following rational functions. x3 + 27 x2 + 25 t(x) = x³ – 9x x + 2 x² + x – 2 w(x) = x3 + 6x2 + 9x x + 3 2x - 1 r(x) = s(x) = u(x) = x2 - x – 2 – 25 (a) Which of these rational functions has a horizontal asymptote? (Select all that apply.) n (x) n s(x) n t(x) u(x) n w(x) (b) Which of these functions has a slant asymptote? (Select all that apply.) n (x) n s(x) t(x) n u(x) n w(x) (c) Which of these functions has no vertical asymptote? (Select all that apply.) r(x) n s(x) n t(x) n u(x) n w(x) (d) Which of these functions has a "hole"? (Select all that apply.) r(x) n s(x) n t(x) n u(x) n w(x) (e) What are the asymptotes of the function r(x)? (Enter your answers as a comma-separated list of equations.)

Consider the following rational functions. x3 + 27 x2 + 25 t(x) = x³ – 9x x + 2 x² + x – 2 w(x) = x3 + 6x2 + 9x x + 3 2x - 1 r(x) = s(x) = u(x) = x2 - x – 2 – 25 (a) Which of these rational functions has a horizontal asymptote? (Select all that apply.) n (x) n s(x) n t(x) u(x) n w(x) (b) Which of these functions has a slant asymptote? (Select all that apply.) n (x) n s(x) t(x) n u(x) n w(x) (c) Which of these functions has no vertical asymptote? (Select all that apply.) r(x) n s(x) n t(x) n u(x) n w(x) (d) Which of these functions has a "hole"? (Select all that apply.) r(x) n s(x) n t(x) n u(x) n w(x) (e) What are the asymptotes of the function r(x)? (Enter your answers as a comma-separated list of equations.)

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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