Step 1:

The equation is $\"\"$ .

Construct a table for different values of x :

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

Note : The equation does not exist at $\"\"$ , so $\"\"$ is not considered in the above table.

Step 2:

Graph:

1. Draw a coordinate plane.

2. Plot the points found in tables and draw a smooth curves through these points.

$\"\"$

Observe the graph :

The equation has a maximum at $\"\"$ .

The equation has minimum at $\"\"$ .

Step 3:

The maximum of the function :

$\"\"$ has a relative or local maximum at x = c , if $\"\"$ for every x in open interval around x = c.

The minimum of the function :

$\"\"$ has a relative or local minimum at x = c , if $\"\"$ for every x in open interval around $\"\"$ .

Therefore, from the above two definitions maximum is less than the minimum.

Solution :

The graph of the function :

$\"\"$

The equation has a maximum at $\"\"$ .

The equation has minimum at $\"\"$ .