Consider the following function. g(x) = x3 − 2 Find its average rate of change over the interval [−2, 2]. Δy Δx = Compare this rate with the instantaneous rates of change at the endpoints of the interval. g '(−2) = g '(2) =

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
ChapterP: Prerequisites
SectionP.6: Analyzing Graphs Of Functions
Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
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Consider the following function.

g(x) = x3 − 2

Find its average rate of change over the interval 

[−2, 2].

 

Δy
Δx
 = 



Compare this rate with the instantaneous rates of change at the endpoints of the interval.

g '(−2)  =   
g '(2)  =   
 
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