In many problems, including the ones below, we give an interval $a,b.$ This refers to the interval $x=a$ to $x=b.$

Problem $2\mathrm{.}4.$ Consider the function defined by $g(x)=x^3.$

$($a$)$ What is the average rate of change of $g$ over the interval $0,2?$

$($b$)$ What is the average rate of change of $g$ over the interval $2,4?$

$($c$)$ What is the average rate of change of $g$ over the interval $4,6?$