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-4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r= -2 and y = x-8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of

-4x2 f(r): r(r+8)(r – 2) (x+2)3 8(7r - 4) (x+2)4 with f'(r) = and f"(x): (r + 2)2 ' a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r= -2 and y = x-8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Answer A B C ONLY. I'LL UPVOTE IF IT IS TYPEWRITTEN. THANK YOU
1. Given: -4x2 x(r+8)(r-2) (r+2)3 8(7r-4) f(r) = (r+ 2)2 with f'(x) = and f"(x): %3D (x+ 2)4 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r -2 and y r-8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f. d. Construct a table of signs for f' and f". From here, specify the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of r at which f has relative extrema, inflection points, and vertical asymp- totes (if any). e. Sketch the graph of f with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymptotes of the graph of f and label them with their respective equations.
Transcribed Image Text:1. Given: -4x2 x(r+8)(r-2) (r+2)3 8(7r-4) f(r) = (r+ 2)2 with f'(x) = and f"(x): %3D (x+ 2)4 a. Find the domain of f and the intercepts of the graph of f. b. Using limits, show that r -2 and y r-8 are asymptotes of the graph of f. c. Identify the critical numbers of f and the possible points of inflection of the graph of f. d. Construct a table of signs for f' and f". From here, specify the following: i. the intervals on which the graph of f is increasing, decreasing, concave up, and concave down, and ii. the values of r at which f has relative extrema, inflection points, and vertical asymp- totes (if any). e. Sketch the graph of f with emphasis on concavity. Label all the intercept points, relative extremum points, and inflection points with their coordinates. Show the asymptotes of the graph of f and label them with their respective equations.
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