2. Consider the function f(x) -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 I- == X (ii) x ¤ [−2, −1] y -0.5 -1 <-1.5 -2 <-2.5 -3 -3.5 -4 -4.5 -5 a) Find the average rate of change on the following intervals: (1) =< [-2-1-1] x b) Use the graph to estimate the instantaneous rate of change at x = -2 c) Use the power rule to find f'(-2)

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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2. Consider the function f(x) X
-4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5
I←
(i) x =
Y
a) Find the average rate of change on the following intervals:
* € (-2,-21]
(ii) x ¤ [−2, −1]
-0.5
-1
-1.5
-2
-2.5
-3
-3.5
-4
-4.5
-5
b) Use the graph to estimate the instantaneous rate of change at x = -2
c) Use the power rule to find f'(-2)
Transcribed Image Text:2 2. Consider the function f(x) X -4 -3.5 -3 -2.5 -2 -1.5 -1 -0.5 I← (i) x = Y a) Find the average rate of change on the following intervals: * € (-2,-21] (ii) x ¤ [−2, −1] -0.5 -1 -1.5 -2 -2.5 -3 -3.5 -4 -4.5 -5 b) Use the graph to estimate the instantaneous rate of change at x = -2 c) Use the power rule to find f'(-2)
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