Curve sketching: Sketch the graph of a contimuous function f satsifying all of the following properties: (a) f(-2) = 2, f(3) = -2 (b) f'(x) < 0 on (-0, -4) and (0, 3), and f'(x) > 0 on (-4, 0) and (3, o0) (c) f"(r) > 0 on (-0, -2) and (5, o0) and f" < 0 on (-2,5)

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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5. Curve sketching: Sketch the graph of a continuous function f satsifying all of the following properties:
(a) f(-2) = 2, f(3) = -2
(b) f'(x) < 0 on (-00, -4) and (0, 3), and f'(x) > 0 on (-4, 0) and (3, o0)
(c) f"(1) > 0 on (-00, -2) and (5, 00) and f" < 0 on (-2,5)
Note: your answer must consist of just ONE graph!
Transcribed Image Text:5. Curve sketching: Sketch the graph of a continuous function f satsifying all of the following properties: (a) f(-2) = 2, f(3) = -2 (b) f'(x) < 0 on (-00, -4) and (0, 3), and f'(x) > 0 on (-4, 0) and (3, o0) (c) f"(1) > 0 on (-00, -2) and (5, 00) and f" < 0 on (-2,5) Note: your answer must consist of just ONE graph!
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