FUNCTIONS Basic Graphing And Analysis (Page 12 of 12)

Now use the CALC maximum command to find the relative maximum near x = 0. The process is identical for that of the minimum command. Let's use a left bound of -0.5, a right bound of 0.5, and a guess of 0.

 2nd CALC key. 4: menu selection. Negation key. 0.5 ENTER key. 0.5 ENTER key. 0 ENTER key. Calculator screen image.

The relative maximum occurs at approximately (-0.145, 6.076). We can now conclude that this function is decreasing on the intervals (-infinity, -1.719]U[-0.145, 1.145] and increasing on the intervals [-1.719, -0.145]U[1.145, infinity).
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