(a) Fill in the table to find the average rate of change and the percentage rate of change between successive data points. (Round your answers to the nearest whole number.) x f(x) Average rate of change Percentage rate of change 0 120 — — 1 202 82 68% 2 337 % 3 569 % 4 960 % 5 1612 % (b) Use your results to determine whether a linear model or an exponential model is appropriate, and use a calculator to find the appropriate model. (Round your terms to three decimal places.) f(x) = _________
(a) Fill in the table to find the average rate of change and the percentage rate of change between successive data points. (Round your answers to the nearest whole number.) x f(x) Average rate of change Percentage rate of change 0 120 — — 1 202 82 68% 2 337 % 3 569 % 4 960 % 5 1612 % (b) Use your results to determine whether a linear model or an exponential model is appropriate, and use a calculator to find the appropriate model. (Round your terms to three decimal places.) f(x) = _________
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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(a) Fill in the table to find the average rate of change and the percentage rate of change between successive data points. (Round your answers to the nearest whole number.)
x | f(x) | Average rate of change |
Percentage rate of change |
---|---|---|---|
0 | 120 | — | — |
1 | 202 | 82 | 68% |
2 | 337 | % | |
3 | 569 | % | |
4 | 960 | % | |
5 | 1612 | % |
(b) Use your results to determine whether a linear model or an exponential model is appropriate, and use a calculator to find the appropriate model. (Round your terms to three decimal places.)
f(x) = _________
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