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.

Absolute Maximum

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.

Absolute Minimum

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.

Relative Maximum and Minimum

a = 3.08     b = -3.08