Question

The table represents an exponential function.

X12
3
4
ហស ~ <|
125
What is the multiplicative rate of change of the
function?
O
0 00
2
5

Answer 1

The multiplicative rate of change of the function is 1/5.

To find the multiplicative rate of change of an exponential function, we need to calculate the ratio of the corresponding outputs in two successive intervals. In this case, the table shows the function's outputs at intervals of 1.

Therefore, the multiplicative rate of change can be found using the following formula:

Multiplicative rate of change = f(x + 1) / f(x)

In this table, we can choose any two consecutive values of x. Let's choose x = 1 and x = 2:

Multiplicative rate of change = f(2) / f(1) = (2/5) / 2 = 1/5

Therefore, the multiplicative rate of change of the function is 1/5.