Question

Consider the table for the exponential function, LaTeX: p\left(x\right)=2^xp ( x ) = 2 x, shown below. Calculate the Average Rate of Change between the interval [2, 6].

Answer 1

15

Explanation:

To find the average rate if change of the exponential function between the interval [2, 6], use the formula,
`m = (p(b) - p(a))/(b - a)`

Where,

`a = 2, p(2) = 4`

`b = 6, p(6) = 64`

Plug in the above values into the formula:

`m = (64 - 4)/(6 - 2)`

`m = (60)/(4)`

`m = 15`

Average rate of change is 15