EXPLORING CONCEPTS Transformations of Functions In Exercises 81–86, assume that f is differentiable for all x, where f'(x) > 0 on (-0, -4), f'(x) < 0 on (-4, 6), and f'(x) > 0 on (6, c0). Give the appropriate inequality symbol for the given value of c. Explain your reasoning. Function Sign of g'(c) 82. g(x) = 3f(x) - 3 g'(-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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EXPLORING CONCEPTS
Transformations of Functions In Exercises 81-86,
assume that f is differentiable for all x, where f'(x) > 0
on (-∞, –4), f'(x) < 0 on (-4, 6), and f'(x) > 0 on
(6, 0). Give the appropriate inequality symbol for the
given value of c. Explain your reasoning.
Function
Sign of g'(c)
82. g(x) = 3f(x) - 3
g'(-5)
Transcribed Image Text:EXPLORING CONCEPTS Transformations of Functions In Exercises 81-86, assume that f is differentiable for all x, where f'(x) > 0 on (-∞, –4), f'(x) < 0 on (-4, 6), and f'(x) > 0 on (6, 0). Give the appropriate inequality symbol for the given value of c. Explain your reasoning. Function Sign of g'(c) 82. g(x) = 3f(x) - 3 g'(-5)
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