The graph of function g is given. y = g(x) pato -10 Arrange the following numbers in increasing order. 0, g'(-2), g(0), g(2), g(4) Og(0) 0 g(4) g(2) g'(-2) Og'(-2) = g(0) = g(2)=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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I need help with this problem: The problem is described in the image below. This question is based on The Derivatives as a function & Derivatives & Rate of change chapters.

The graph of function g is given.
y = g(x)
partn
2 3 4
Arrange the following numbers in increasing order.
0, g'(-2), g'(0), g'(2), g'(4)
Og'(0) < 0 < g'(4) < g'(2) < g'(-2)
O g'(-2) = g'(0) = g'(2) = 0 < g'(4)
Og'(0) < 0 < g'(4) < g'(-2) < g'(2)
x
O g'(0) < 0 < g'(−2) < g'(2) < g'(4)
O 0 < g'(4) < g'(2) < g'(0) < g'(-2)
Explain your reasoning.
There are only two nonpositive values, the smallest of which is ---Select--- V. The next smallest value is ---Select--- ✓
since the other values are all positive. The slope at x = ? ✓ is the next smallest slope since it is smaller than the slope at x = ? ✓, and both of these are smaller than the slope at x = ? .
Transcribed Image Text:The graph of function g is given. y = g(x) partn 2 3 4 Arrange the following numbers in increasing order. 0, g'(-2), g'(0), g'(2), g'(4) Og'(0) < 0 < g'(4) < g'(2) < g'(-2) O g'(-2) = g'(0) = g'(2) = 0 < g'(4) Og'(0) < 0 < g'(4) < g'(-2) < g'(2) x O g'(0) < 0 < g'(−2) < g'(2) < g'(4) O 0 < g'(4) < g'(2) < g'(0) < g'(-2) Explain your reasoning. There are only two nonpositive values, the smallest of which is ---Select--- V. The next smallest value is ---Select--- ✓ since the other values are all positive. The slope at x = ? ✓ is the next smallest slope since it is smaller than the slope at x = ? ✓, and both of these are smaller than the slope at x = ? .
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