Question

I really need some help with this

Answer 1

4

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 ] = [ 0, 4 ] , thus

f(b) = f(4) = - 4² + 8(4) - 4 = - 16 + 32 - 4 = 12

f(a) = f(0) = - 4 , then

average rate of change =
`(12-(-4))/(4-0)` =
`(12+4)/(4)` =
`(16)/(4)` = 4