9) Sketch the graph of a function f(x) on the interval (-4,4) with the following properties. f(x) is even f(0) = 2, f(1) = f(3) = 0; f'(0) = f'(2) = 0 f'(x) > 0 on (2, 4); f'(x) <0 on (0.2) f"(x) > 0 on (1,4); f"(x) <0 on [0, 1) _lim_ f(x) = +∞0;

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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9) Sketch the graph of a function f(x) on the interval (-4,4) with the following properties.
f(r) is even
f(0) = 2, f(1) = f(3) = 0; f'(0) = f'(2) = 0
f'(x) > 0 on (2, 4); f'(x) <0 on (0, 2)
f"(x) > 0 on (1,4); f"(r) <0 on [0, 1)
lim f(x) = +00;
-4
6
5
4
3
1
?
-3
-4
-5
-6
y
2
Transcribed Image Text:9) Sketch the graph of a function f(x) on the interval (-4,4) with the following properties. f(r) is even f(0) = 2, f(1) = f(3) = 0; f'(0) = f'(2) = 0 f'(x) > 0 on (2, 4); f'(x) <0 on (0, 2) f"(x) > 0 on (1,4); f"(r) <0 on [0, 1) lim f(x) = +00; -4 6 5 4 3 1 ? -3 -4 -5 -6 y 2
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