Section 3-6

Critical Points and Extrema

Vocabulary

Critical PointsMaximumMinimumAbsolute MaximumAbsolute MinimumPoint of InflectionRelative ExtremaRelative MaximumRelative Minimum

Maximum

Minimum

Point of Inflection

Review

Maximum: increasing to the left and decreasing to the right of the maximum point

Minimum: decreasing to the left and increasing to the right of the minimum point.

Point of inflection: a point where the graph changes its curvature

Absolute Minimum

Absolute Maximum

Relative Minimum and Relative Maximum

Examples

Extrema

• Graph

32 xy

Extrema

Graphing Calculator tip page 173 of textbook.

Method 1

Continue Method 1

Method 2

Method 3

More examples

Some more….

One more…

Critical Points

More Examples

More Examples