Question

Average rate of change for the function from 1 to 4.

H(x)=x^3-1

Answer 1

A. 21

Explanation:

First, find h(1) and h(4) given the function,
`h(x) = x^3 - 1`

`h(1) = (1)^3 - 1 = 1 - 1`

`h(1) = 0`

`h(4) = (4)^3 - 1`

`h(4) = 64 - 1`

`h(4) = 63`

Average rate of change =
`(h(b) - h(a))/(b - a)`

Where,

`a = 1, h(a) = 0`

`b = 4, h(b) = 63`

Average rate of change =
`(63 - 0)/(4 - 1)`

`= (63)/(3) = 21`