Question

What is the average rate of change for this function for the interval x=2 to x=4?

Answer 1

Answer:

12

Step-by-step explanation:

The average rate of change in the closed interval [ a, b ] is

$\frac{f(b)-f(a)}{b-a}$

Here [ a, b ] = [ 2, 4 ]

f(b) = f)4) = 32 ← from table

f(a) = f(2) = 8 ← from table

Then average rate of change is

$\frac{32-8}{4-2}$ = $\frac{24}{2}$ = 12