Answer
See answer below.
Work Step by Step
We will follow the following steps for determining the absolute extreme of a continuous function $f(x)$ on a closed interval $[m,n]$.
Step-1: Take the derivative of the function $f(x)$ and then compute the critical numbers.
Step-2: Those critical numbers that do not lie in a closed interval $[a,b]$ must be discarded.
Step-3 : Compute the function $f(x)$ only at those critical numbers that must lie in a closed interval $[m,n]$ .
Step-4: Compute $f(m)$ and $f(n)$.
Step-5: After following the above steps, the largest function is an absolute maximum and the smallest function is an absolute minimum.
