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Finding Points of Interest on a Function Graph

The Graphs application helps you find zeros, minimums, maximums, intersections, derivatives (dy/dx), or integrals. For Graphs defined as conic sections, you can also find foci, directrix, and other points.

(CAS): You can also find the point of inflection.

Identifying Points of Interest by Dragging a Point

To quickly identify maximums, minimums, and zeros, create a point on the graph and then drag the point.

Temporary signposts appear as you drag through points of interest.

Identifying Points of Interest with Analysis Tools

This example illustrates using the Minimum tool. Other analysis tools operate similarly.

1. From the Analyze Graph menu, select Minimum.

The Minimum icon is displayed at the top left on the work area, and a graph? prompt appears in the work area.

2. Click the graph on which you want to find the minimum.

A dotted line appears, representing the lower bound of the range to search.

3. Drag the line or click a location to set the lower bound and display a proposed upper bound.

4. Drag the line representing the upper bound, or click a location to set it.

The minimum is displayed, along with a text object showing its coordinates.

 

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