For the exponential function answer the following. f(x) = 7(0.4*) (a) Calculate the percentage change and average rate of change of f for each of the following intervals. (Round your answer to three decimal places.) i. From x = 1 to x = 3 average rate of change % percent change ii. From x = 3 to x = 5 average rate of change percent change i. From x = 5 to x = 7 average rate of change percent change (b) On the basis of the results in part (a) and the characteristics of exponential functions presented in Chapter 1, what generalizations can be made about percentage change and average rate of change for an exponential function? For an exponential function, the average rate of change between two points -Select- change -Select- but the percent

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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For the exponential function answer the following.
f(x) = 7(0.4*)
(a) Calculate the percentage change and average rate of change of f for each of the following intervals. (Round your
answer to three decimal places.)
i. From x = 1 to x = 3
average rate of change
%
percent change
ii. From x = 3 to x = 5
average rate of change
percent change
%
iii. From x = 5 to x = 7
average rate of change
%
percent change
(b) On the basis of the results in part (a) and the characteristics of exponential functions presented in Chapter 1, what
generalizations can be made about percentage change and average rate of change for an exponential function?
For an exponential function, the average rate of change between two points |
change --Select--
-Select---
but the percent
Transcribed Image Text:For the exponential function answer the following. f(x) = 7(0.4*) (a) Calculate the percentage change and average rate of change of f for each of the following intervals. (Round your answer to three decimal places.) i. From x = 1 to x = 3 average rate of change % percent change ii. From x = 3 to x = 5 average rate of change percent change % iii. From x = 5 to x = 7 average rate of change % percent change (b) On the basis of the results in part (a) and the characteristics of exponential functions presented in Chapter 1, what generalizations can be made about percentage change and average rate of change for an exponential function? For an exponential function, the average rate of change between two points | change --Select-- -Select--- but the percent
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