5. Find the domain of the rational function f(x) = 3x 2 – 8x – 3 2x 2 + 7x – 4. Da. D(-, -4) U (-4, 2) U (2, 0)b. D(-o, -4) U (-4, 1/2) U (1/2, ∞)c. D(-o, -1/2) U (-1/2, 4) U (4, ∞)d. D(-o, -4) U (-4, ∞0)%3D

Answered: Image /qna-images/answer/21f4197f-4060-4221-97e5-95216c07cb61.jpg

Answered: 5. Find the domain of the 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

Section3.6: Rational Functions

Problem 5E

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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.
Match the rational expression on the left with the correct partial fraction decomposition form on the right. 62. x2-2x+3x2x-4x3+5 a. Ax+Bx2+Cx3+Dx4+Ex-4+Fx+Gx2+5 b. Ax+Bx-4+Cx-42+Dx-43+Fx+Gx2+5+Hx+Ix2+52 c. Ax+Bx2+Cx-4+Dx2+Ex+Fx3+5 d. Ax+Bx2+Cx3+Dx-4+Ex-42+Fx+Gx2+5 e. Ax+Bx-4+Cx+Dx2+5 f. Ax+Bx2+Cx-4+Dx+Ex2+5
Match the graph of the rational function f(x)=ax+bcx+d with the given conditions. (a) (b) (c) (d) (i) a0b0c0d0 (ii) a0b0c0d0 (iii) a0b0c0d0 (iv) a0b0c0d0
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4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?
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5. Find the domain of the rational function f(x) = 3x 2 - 8x - 3 2x 2 + 7x- 4. D a. D(-co, -4) U (-4, 2) U (2, 0) b. D(-0o, -4) U (-4, 1/2) U (1/2, 0) c. D(-o, -1/2) U (-1/2, 4) U (4, 0) d. D(-co, -4) U (-4, ∞)