Question

What is the average rate of change for this exponential function for the

interval from x = 2 to x = 4?,
A. -12
B. 12
C. -6
D. 6

Answer 1

Option (D).

Explanation:

In the figure attached,

An exponential function has been graphed with certain points marked on it.

To find the average rate of change for this function between the given interval we will use the formula,

Average rate of change =
`(f(x_2)-f(x_1))/(y_2-y_1)`

where
`f(x_2)` = value of the function at x = 4

`f(x_1)` = value of the function at x = 2

By substituting these values in the formula,

Average rate of change =
`(16-4)/(4-2)`

=
`(12)/(2)`

= 6

Therefore, Option D will be the answer.