Education Technology

The Function Editor App

How do I determine a minimum or maximum?

To find the minimum or maximum of a function follow the example below.

Example: Find the maximum of the function

\( y = -3x^2 - 6x + 2 \).

1. Press g to activate POI trace.

2. Press the arrow keys to move the cursor toward the maximum or enter a numeric value to jump close to the maximum. When the cursor passes over a maximum in POI trace mode, the value of the maximum will be displayed along with the x-coordinate and an indication that a maximum has been reached.

Alternatively, one can use the calculations menu and follow the steps below:

1. Press h to graph the parabola.

2. Press a à 4 to select the "maximum" command from the CALC menu.

3. The handheld will prompt for a "Left Bound". Press | 2 then press =.

4. The handheld will prompt for a "Right Bound". Press 0 then press =.

5. The handheld will prompt for a "Guess". Press the arrow keys to move the cursor as close as possible to the actual maximum point and press =.

The handheld will display the maximum point as a coordinate pair.
A minimum follows similar steps.

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