$\"\"$

Definition of local maximum and local minimum:

1. The number $\"\"$ is a local maximum value of $\"\"$ if $\"\"$ when $\"\"$ is near $\"\"$ .

2. The number $\"\"$ is a local minimum value of $\"\"$ if $\"\"$ when $\"\"$ is near $\"\"$ .

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 $\"\"$ .

$\"\"$

The function is $\"\"$ , $\"\"$ .

Construct a table for different values of $\"\"$ :

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

Graph :

1) Draw the co-ordinate plane.

2) Plot the points.

3) Connect the points with line.

$\"\"$

Observe the graph.

$\"\"$ on its domain $\"\"$ .

Hence, absolute maximum is $\"\"$ .

$\"\"$

Graph of the function $\"\"$ is

$\"\"$

Absolute maximum is $\"\"$ .