Question

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

Answer 1

Answer:

D

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

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

From the table

f(b) = f(4) = 16

f(a) = f(2) = 4, hence

average rate of change = $\frac{16-4}{4-2}$ = $\frac{12}{2}$ = 6