Chapter 6.3, Problem 5Q

To determine

To determine whether the table represents an exponential growth function, an exponential decay function or neither

Answer to Problem 5Q

The given table represents an exponential decay function

Explanation of Solution

Given:

x	1	2	3	4
y	14,641	1331	121	11

Concept Used:

If values of independent variable x changes by same constant amount and values of dependent variable y are multiplied by a constant factor then the function is said to be exponential.

If the multiple is greater than 0 then the function is said to be exponential growth function and if it is less than 0 then the function is said to be an exponential decay function.

As x is increased by 1, and y is multiplied by $\frac{1}{11}$ , so this is an exponential function.

Since, values of y are multiple of $\frac{1}{11}<0$ .

Therefore,

Given table represents exponential decay function.