Question

Please help me I need to submit this asap

Answer 1

D

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 ] = [ - 1, 2 ], thus

f(b) = 4 ← from (2, 4 )

f(a) =
`(1)/(2)` ← from (- 1,
`(1)/(2)` ) , thus

average rate of change =
`(4-(1)/(2) )/(2-(-1))` =
`((7)/(2) )/(3)` =
`(7)/(6)` → D