Graphical Behavior

Maximum & Minimum

Example 3

An odd polynomial of degree higher than three will look much like a cubic, and may contain more than one curve. Since odd functions have opposite end behavior, there is never an absolute maximum or minimum.

Let P(x) = -2x3 + 7x2 - 3x.

Min_Max_ex3

There is a relative minimum value of -0.34 at approximately x = 0.24 and a relative maximum value of 6 .05 at approximately x = 2.09.