Related methods of customizing function size in Geometric Sketchpad

Description: Use variables at points on a certain path to control follower points, construct trajectories, and use trajectories of a specific length to represent function graphs.

Create a coordinate system, use the point tool to construct two points A and B on the x-axis, and construct line segment AB. Select line segment AB, select [Construction] - [Point on Object], and construct point P on line segment AB. Measure the abscissa xp of point P.

2. Select [Data] - [New Function], in the [New Function] editor, edit the function [f(x)=x3-2x-1 ], click [OK]. Select [Data] - [Calculation], in the calculation editor, after clicking the function analytical expression f(x), click in the measurement value of the abscissa coordinate of P in the brackets. Get the value of the function with xp as the independent variable.

#3. Select the measurement value xp and the calculated value f(xp) in sequence, select [Drawing] - [Drawing Point], and you will get a drawing point Q.

#4. Select points P and Q, select [Construction] - [Trajectory], and you will get a trajectory. This trajectory is the function graph of the independent variable within the range AB. Change the position of A and B, and the size of the [image] will change accordingly.

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