3–4. Designer functions Sketch the graph of a function continuous on the given interval that satisfies the following conditions. 3. f is continuous on the interval [–4, 4]:f'(x) = 0 for x = -2, 0, and 3; f has an absolute minimum at x = 3;f has a local mini- mum at x = -2; f has a local maximum at x = 0;f has an abso- lute maximum at x = -4. %3D 4. f is continuous on (-0, 0); f'(x) < 0 and f"(x) < 0 on (-x, 0);f'(x) > 0 and f"(x) > 0 on (0, 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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3–4. Designer functions Sketch the graph of a function continuous on
the given interval that satisfies the following conditions.
3. f is continuous on the interval [–4, 4]:f'(x) = 0 for x = -2,
0, and 3; f has an absolute minimum at x = 3;f has a local mini-
mum at x = -2; f has a local maximum at x = 0;f has an abso-
lute maximum at x = -4.
%3D
4. f is continuous on (-0, 0); f'(x) < 0 and f"(x) < 0 on
(-x, 0);f'(x) > 0 and f"(x) > 0 on (0, 0).
Transcribed Image Text:3–4. Designer functions Sketch the graph of a function continuous on the given interval that satisfies the following conditions. 3. f is continuous on the interval [–4, 4]:f'(x) = 0 for x = -2, 0, and 3; f has an absolute minimum at x = 3;f has a local mini- mum at x = -2; f has a local maximum at x = 0;f has an abso- lute maximum at x = -4. %3D 4. f is continuous on (-0, 0); f'(x) < 0 and f"(x) < 0 on (-x, 0);f'(x) > 0 and f"(x) > 0 on (0, 0).
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