4. Find the domain and range of the rational function f(x) =х2—х-6DRx+2a. D(-0o, -2) U (-2, o);R (-∞, -2) U (-2, o0)b. D(-o, -2) U (-2, ∞);R (-∞, -3) U (-3, ∞)c. D(-o, -2) U (-2, );R (-∞, 3) U (3, )d. D(-0, -2) U (-2, );R (-∞, -5) U (-5, o0)5. Find the domain of the rational function f(x) = 3x 2 – 8x – 3 2x 2 + 7x – 4. Da. D(-0, -4) U (-4, 2) U (2, 0)b. D(-co, -4) U (-4, 1/2) U (1/2, ∞)c. D(-o, -1/2) U (-1/2, 4) U (4, 0)d. D(-o, -4) U (-4, ∞)%3D

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Answered: x²-x-6 4. Find the domain and range of…

College Algebra

7th Edition

ISBN:9781305115545

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter5: Systems Of Equations And Inequalities

Section5.3: Partial Fractions

Problem 2E

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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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x²-x-6 4. Find the domain and range of the rational function f(x) = x+2 a. D(-o, -2) U (-2, co);R (-0, -2) U (-2, o) b. D(-co, -2) U (-2, o);R (-co, -3) U (-3, o) c. D(-co, -2) U (-2, );R (-co, 3) U (3, o) d. D(-co, -2) U (-2, ∞);R (-0, -5) U (-5, o)