Graphing Absolute and Relative Extrema

Absolute Maximum

Absolute Minimum

Relative Minimum

Relative Maximum

The lowest point on a graph

The midpoint on a graph

The highest point on a graph

The average point on a graph

(8, 2)

(5, 5)

(2, 8)

(0, 0)

x = 2

x = 8

y = 2

y = 8

x-coordinate

y-coordinate

z-coordinate

t-coordinate

It is the relative maximum.

It is the absolute maximum.

It is the absolute minimum.

It is the relative minimum.

8

5.5

2

0

The graph is a straight line.

The graph extends to negative infinity.

The graph extends to positive infinity.

The graph has a high point.

It goes up to positive infinity.

It goes down to negative infinity.

It stops at a certain point.

It reaches an absolute minimum.

Absolute Minimum

Relative Minimum

Relative Maximum

Absolute Maximum