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

Answer:

15

Step-by-step explanation:

To find the average rate if change of the exponential function between the interval [2, 6], use the formula, $m = \frac{p(b) - p(a)}{b - a}$

Where,

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

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

Plug in the above values into the formula:

$m = \frac{64 - 4}{6 - 2}$

$m = \frac{60}{4}$

$m = 15$

Average rate of change is 15