How Do You Find Local Maximum and Minimum Points Using Technology?

Use your GDC to graph the function, select its maximum or minimum command, and specify an interval around the turning point. Record both coordinates: a local maximum or minimum point must be written as ((x,y)), not just as a single value.

Method Using a GDC

A stationary point occurs where the gradient is zero, so $f'(x)=0$. A local maximum is higher than nearby points, while a local minimum is lower than nearby points.

1. Enter the function into the graphing application.
2. Choose a suitable viewing window that includes the required domain.
3. Graph the function and identify each apparent turning point.
4. Select the GDC's maximum or minimum command.
5. Set lower and upper bounds on either side of the point, or place the cursor near it, depending on the GDC model.