Sketch a graph of a function f with the following properties: (i) / has vertical asymptotes at r +3 (ii) f'(r) 0 for r= 0, r= -1, and r 1 (iii) f'(x) > 0 for -3

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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Sketch a graph of a function / with the following properties:
(i) / has vertical asymptotes at r +3
(ii) f'(r) 0 for r 0, r -1, and r 1
(iii) '(r) > 0 for -3<r< -1 and 0<r<1
(iv) f'(x) <0 for r < -3, -1<r<0, 1<r<3, and z> 3
(v) f"(r) >0 for z > 3 and -0.5<I<0.5
(vi) f"(r) <0 for r< -3, -3<r<-0.5, and 0.5<r<3
(vii) lim f(r) = -2, lim f(r) = 1
Transcribed Image Text:Sketch a graph of a function / with the following properties: (i) / has vertical asymptotes at r +3 (ii) f'(r) 0 for r 0, r -1, and r 1 (iii) '(r) > 0 for -3<r< -1 and 0<r<1 (iv) f'(x) <0 for r < -3, -1<r<0, 1<r<3, and z> 3 (v) f"(r) >0 for z > 3 and -0.5<I<0.5 (vi) f"(r) <0 for r< -3, -3<r<-0.5, and 0.5<r<3 (vii) lim f(r) = -2, lim f(r) = 1
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