Step 1:

Definition of absolute maximum and absolute minimum :

Let $\"\"$ be a number in the domain $\"\"$ of a function $\"\"$ .

1.The number $\"\"$ is a absolute maximum value of $\"\"$ on $\"\"$ if $\"\"$ for all $\"\"$ in $\"\"$ .

2.The number $\"\"$ is a absolute minimum value of $\"\"$ on $\"\"$ if $\"\"$ for all $\"\"$ in $\"\"$ .

Step 2:

The function has an absolute maximum at $\"\"$ .

The function has an absolute minimum at $\"\"$ .

Graph of the function is defined on the interval $\"\"$ .

Graph : \ \

Graph the function satisfying the above characteristics.

$\"\"$

Solution :

Graph of the function is

$\"\"$