2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated on the graph. 15 10 5 (7,9) 10 15 + 20 25 30 85 b) What is the significance of a positive rate of change of the function at the tangency point? c) Find the average rate of change of the function on interval [7,20]. What does the average rate of change represent?

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. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated on the
graph.
15
10
(7,9)
H
5
-5
23
3
10 15 20 25 30
85
wo
b) What is the significance of a positive rate of change of the function at the tangency point?
c) Find the average rate of change of the function on interval [7,20]. What does the average rate of change
represent?
Transcribed Image Text:2. a) Estimate the instantaneous rate of change of the function at the tangent point (7,9) indicated on the graph. 15 10 (7,9) H 5 -5 23 3 10 15 20 25 30 85 wo b) What is the significance of a positive rate of change of the function at the tangency point? c) Find the average rate of change of the function on interval [7,20]. What does the average rate of change represent?
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