74. Sketch the graph of a continuous function y = h(x) such that a. h(0) = 0, -2 s h(x) s 2 for all x, h'(x) 00 as x→0, and h'(x) →o asx→0*; b. h(0) = 0, -2 s h(x) s 0 for all x, h'(x) 0o as x→0, and h'(x) -oo as x0*.

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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74. Sketch the graph of a continuous function y = h(x) such that
a. h(0) = 0, -2 s h(x) s 2 for all x, h'(x) 00 as x→0,
and h'(x) →o asx→0*;
b. h(0) = 0, -2 s h(x) s 0 for all x, h'(x) 0o as x→0,
and h'(x) -oo as x0*.
Transcribed Image Text:74. Sketch the graph of a continuous function y = h(x) such that a. h(0) = 0, -2 s h(x) s 2 for all x, h'(x) 00 as x→0, and h'(x) →o asx→0*; b. h(0) = 0, -2 s h(x) s 0 for all x, h'(x) 0o as x→0, and h'(x) -oo as x0*.
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