Sketch the graph of a functionf that satisfies all of the given conditions: 1) f(0) = 1, f(2) = 3, f(3) = 2; 2) lim f(x) = 1, lim f(x) = -o, x-1+ %3D lim f(x) = -∞, | x-1- 3) f' (x) > 0 for x E (-1,2), f'(x)<0 for x € (-00, –1) U (2, 0); 4) f (x) > 0 for x E (3, 00), f (x)<0 for x E (-00, –1) U (-1,3).

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 the graph of a function f that satisfies all of the given
conditions:
1) f(0) = 1, f(2) = 3, f(3) = 2;
2) lim f(x) = 1, lim f(x) =-0,
x-1+
lim f(x) = -∞,
x-1-
3) f' (x) > 0 for xE (-1,2), f'(x)<0 for
x € (-00, –1) U (2, 00);
4) f (x) > 0 for x E (3, 00), f' ()<0 for
x € (-00, -1) U(-1,3).
Transcribed Image Text:Sketch the graph of a function f that satisfies all of the given conditions: 1) f(0) = 1, f(2) = 3, f(3) = 2; 2) lim f(x) = 1, lim f(x) =-0, x-1+ lim f(x) = -∞, x-1- 3) f' (x) > 0 for xE (-1,2), f'(x)<0 for x € (-00, –1) U (2, 00); 4) f (x) > 0 for x E (3, 00), f' ()<0 for x € (-00, -1) U(-1,3).
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