a. Sketch the graph of a function that satisfies all of the given conditions. Note that you need to make ONE graph that satisfies all the given conditions. f'(x) > 0 if |x| < 2, ƒ'(x) < 0 if |x| > 2, ƒ'(2) = 0, lim f(x) = 1, f(-x) = −f(x), x →∞ f"(x) < 0 if 0 0 if x > 3. x²-2x x-0 2x+2 sin x b. Find lim

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.
a. Sketch the graph of a function that satisfies all of the given
conditions. Note that you need to make ONE graph that
satisfies all the given conditions.
ƒ'(x) > 0 if |x| < 2, ƒ'(x) < 0 if |x| > 2, ƒ'(2) = 0,
lim f(x) = 1, f(-x) = -f(x),
x →∞
f"(x) < 0 if 0<x<3, ƒ" (x) > 0 if x > 3.
x²–2x
x 0 2x+2 sin x
b. Find lim
Transcribed Image Text:9. a. Sketch the graph of a function that satisfies all of the given conditions. Note that you need to make ONE graph that satisfies all the given conditions. ƒ'(x) > 0 if |x| < 2, ƒ'(x) < 0 if |x| > 2, ƒ'(2) = 0, lim f(x) = 1, f(-x) = -f(x), x →∞ f"(x) < 0 if 0<x<3, ƒ" (x) > 0 if x > 3. x²–2x x 0 2x+2 sin x b. Find lim
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