Graphical Behavior

Maximum & Minimum

Example 1

An even polynomial of degree higher than two will open up or down, but may contain more than one curve. Notice this case of y = x4 + 3x 3 + 4.

Min_Max_ex1

The minimum is located at x = -2.25 and the minimum value is approximately -4.54. There is only one minimum and no maximum point. The value -4.54 is the absolute minimum since no other point on the graph is lower.