3- 2- 1- 6. -4 -3 -2 2 8 -1- -2- Graph of g 3. The function g is defined on the closed interval [-4, 8]. The graph of g consists of two lincar pieces and a semicircle, as shown in the figure above. Let S be the function defined by f(x) = 3x + 8(1) dt. (a) Find f(7) and f'(7). (b) Find the value of x in the closed interval[-4, 3] at which f attains its maximum valuc. Justify your answer.

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-
2-
-4 -3 -2 -j o
4 5
7
-2+
Graph of g
3. The function g is defined on the closed interval [-4, 8], The graph of g consists of two lincar pieces and a
semicircle, as shown in the figure above. Let f be the function defined by f(x) = 3x + 8(1) di.
%3D
(a) Find f(7) and f'(7).
(b) Find the value of x in the closed interval [-4, 3] at which f attains its maximum valuc. Justify your
answer.
Transcribed Image Text:3- 2- -4 -3 -2 -j o 4 5 7 -2+ Graph of g 3. The function g is defined on the closed interval [-4, 8], The graph of g consists of two lincar pieces and a semicircle, as shown in the figure above. Let f be the function defined by f(x) = 3x + 8(1) di. %3D (a) Find f(7) and f'(7). (b) Find the value of x in the closed interval [-4, 3] at which f attains its maximum valuc. Justify your answer.
(c) For each of lim g'(x) and lim g'(), find the value or state that it does not exist.
x→0
1.
f (x) + 7
(d) Find lim
3x+6
Transcribed Image Text:(c) For each of lim g'(x) and lim g'(), find the value or state that it does not exist. x→0 1. f (x) + 7 (d) Find lim 3x+6
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