# Absolute and Relative Maxima and Minima

### Absolute Maximum

A function has its **absolute maximum** at** x = a** if the ordenate is greater than or equal to any point in the domain of the function.

**a = 0**

### Absolute Minimum

A function has its **absolute minimum** at** x = b** if the ordenate is less than or equal to any point in the domain of the function.

**b = 0**

### Relative Maximum and Minimum

A function, **f**, has a **relative maximum** at point, **a**, if **f(a)** is greater than or equal to the points near the point **a**.

A function, **f**, has a **relative minimum** at point **b**, if **f(b)** is less than or equal to the points close to point **b**.

a = 3.08 b = -3.08