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 $\"\"$ .