Concept explainers
To find: whether thefunction that is represented by the table is exponential growth function, exponential decay function or neither.
Answer to Problem 34E
Neither
Explanation of Solution
Given information:
The table:
x | 0 | 1 | 2 | 3 |
y | 32 | 28 | 24 | 20 |
Concept Used:
Exponential growth function:
Here, the y is the final value, a is the initial value, and r is the rate of growth (in decimal form).
Exponential decay function:
Here, the y is the final value, a is the initial value, and r is the rate of decay (in decimal form).
Consider the table given below:
It can be observed that as x increases by 1, the value of yis decreased by 4.
The rate of change is constant here so it is a linear function.
Therefore, the function represented by the given table is neither anexponential growth function nor an exponential decay function.
Chapter 6 Solutions
BIG IDEAS MATH Integrated Math 1: Student Edition 2016
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