Answer
See the explanation below.
Work Step by Step
In order to compute the absolute extreme of a continuous function $f(x)$ on a closed interval $[a,b]$, we will consider some following points:
1.We need to take the derivative of the function $f(x)$ to find the critical numbers.
2. The critical numbers that do not lie in a closed interval $[a,b]$ must not be considered.
3. Then, we will find the function $f(x)$ only at those critical numbers that locate in a closed interval $[a,b]$ .
4. Determine $f(a)$ and $f(b)$.
5. Then, we see that the largest function would be an absolute maximum and the smallest function would be an absolute minimum.
