To find: The function is linear, exponential or neither.
Answer to Problem 25AYU
Solution:
Neither linear function nor exponential function.
Explanation of Solution
Given:
x | -1 | 0 | 1 | 2 | 3 |
f( x ) | 3 | 6 | 12 | 18 | 30 |
From the above table, the average rate of change from -1 to 0 is 3, and the average rate of change from 0 to 1 is 6. Because the average rate of change is not constant, the function is not a linear function. The ratio of consecutive output from -1 to 0 and 0 to 1 is 2, and the ratio consecutive output from 1 to 2 is 1.5. Because the consecutive output from is not a constant, the function is not an exponential function. Therefore the given function is neither linear nor exponential.
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