What is the average value of the function $f\left(x\right)=x^2$ on the interval $[0,2]$?

Let $f$ be the function defined by $f\left(x\right)=x$. What is the average value of $f$ on the interval $[4,6]$?

Given a function $f\left(x\right)$, what is the average rate of change of $f\left(x\right)$ over the interval $[4,13]$?

Find the average value $f_{ave}$ of the function $f\left(x\right)=x$ on the interval $[0,16]$.

What is the average value of the function $f\left(x\right)=x^2$ on the interval $[0,2]$?

Let $f\left(x\right)=x^{\frac{1}{5}}$. What is the average value of $f$ on the interval $[0,32]$?

Let $f\left(x\right)=x^{\frac{1}{2}}$. What is the average value of $f$ on the interval $[0,16]$?

Find the average value $f_{ave}$ of the function $f\left(x\right)=3x^2+8x$ on the interval $[-1,3]$.