This function has an absolute maximum point and an absolute minimum point. By analysis, the maximum occurs at (3π/8, 5). Let's verify this using the CALC maximum command. You will need to answer three similar questions during this process. To set the Left Bound, use any value of x near but a little to the left of the maximum. The Right Bound can be any value of x near but a little to the right of the maximum. For the Guess, use a value of x that is close to the maximum itself.
When the calculator asks each question, the graph is put into trace mode. Just move the cursor to the value of x you want for each question, then press ENTER. The TI-83/84 will mark the bounds at the top of the screen with arrows. The coordinates of the turning point are then displayed, in this case approximately (1.18, 5). |
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