Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. Find all x < 0 where f has a relative extremum, if there are any. Provide a brief justification for 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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Suppose f is continuous everywhere, f’ is differetiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. Find all x < 0 where f has a relative extremum, if there are any. Provide a brief justification for your answer.
Y
4+
3+
2.
1.
-3
(1,0) 2
3
(-3,0)
V
(0, -0.5)
(2,-0.5)
-2-
(3,-2)
-1,-2)
-3+
(-1.-3)
(4, -3)
+
y = f'(x)
I
Transcribed Image Text:Y 4+ 3+ 2. 1. -3 (1,0) 2 3 (-3,0) V (0, -0.5) (2,-0.5) -2- (3,-2) -1,-2) -3+ (-1.-3) (4, -3) + y = f'(x) I
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