Definition of Local Extrema :

Functions can have "hills and valleys"  places where they reach a minimum or maximum value.

Definition of Absolute Extrema :

The minimum and maximum of a function on an interval are also called the absolute minimum and absolute maximum.

 is neither minimum nor maximum, because moving to right  decreases.

 is local minimum, because moving from left to right or vice versa,  increases in both the cases.

 is local maxima, because if we moving from left to right or vice versa,  decreases in both cases.

 is neither minimum nor maximum, because moving to left  increases and moving to right  decreases.

 is the absolute minimum because it has the smallest value in the entire domain.

 is the absolute maximum, because it has the highest value in the entire domain.

Absolute maximum at .

Absolute minimum at .

Local maximum at .

Local maximum at  and .

Neither maximum nor minimum at  and .