Question

A. 12
B. 6
C. -6
D. -12

Answer 1

B

Explanation:

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

`(f(b)-f(a))/(b-a)`

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

f(b) = f(4) = 16 ← from graph

f(a) = f(2) = 4 ← from graph

average rate of change =
`(16-4)/(4-2)` =
`(12)/(2)` = 6