Question

Average rate of change for the function from 1 to 4. H(x)=x^3-1

Answer 1

Answer:

A. 21

Step-by-step 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 = $\frac{h(b) - h(a)}{b - a}$

Where,

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

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

Average rate of change = $\frac{63 - 0}{4 - 1}$

$= \frac{63}{3} = 21$