POLYNOMIAL FUNCTIONS Graphing And Analysis (Page 7 of 7)

Now use the maximum command again to find the absolute maximum on the right. We will use a left bound of 9, a right bound of 12 and a guess of 10.

 2nd CALC key. 4: menu selection. 9 ENTER key. 12 ENTER key. 10 ENTER key. Calculator screen image.

The absolute maximum occurs at approximately (10.497, 7.740). The absolute maximum allows us to determine that the range of this function is approximately (-infinity, 7.740]. The results also allow us to conclude the function is increasing on the intervals (-infinity, 2.116)U(4.637, 10.497) and is decreasing on the intervals (2.116, 4.637)U(10.497, infinity).
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