To find: The function is linear, exponential or neither.
Answer to Problem 27AYU
Solution:
Exponential function.
Explanation of Solution
Given:
x | -1 | 0 | 1 | 2 | 3 |
f ( x ) | 1 | 4 | 16 | 64 |
From the above table, the average rate of change from -1 to 0 is 0.75, and the average rate of change from 0 to 1 is 4. Because the average rate of change is not constant, the function is not a linear function. The ratio of consecutive output for a 1-unit increase in the input is a constant 4. Because the ratio of consecutive output from is constant, the function is an exponential function with growth factor
Chapter 5 Solutions
Precalculus Enhanced with Graphing Utilities
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
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