Tutorial on how to create piecewise functions using geometric sketchpad

For drawing piecewise functions, the Geometry Sketchpad provides a set of simple and easy-to-use tools, allowing beginners to get started easily. This tutorial is carefully written by PHP editor Banana. It explains in detail the steps of making piecewise functions on the geometric sketchpad, helping everyone to master the drawing skills of piecewise functions. Next, we will take you step by step to understand the drawing method of piecewise function, allowing you to easily create a graph of piecewise function that meets the requirements.

1. Select [Drawing] - [Define Coordinate System]. The origin label is [O] and the unit point label is [A]. Select point A and point O in turn, select [Construction] - [Ray] to construct the ray AO, which is the interval x≤1. Use the point tool to make any point B to the right of point A and draw ray AB.

2. Use the [Point] tool to draw point C and point D to the left and right of point A on the x-axis, select point C, and select [Measure]—— 【Abscissa】Measure the abscissa of point C. Select [Data] - [Calculate], the [Calculator] dialog box will pop up, click [xc], [^], [2], [OK] in sequence. Select xc and the calculated value, select [Draw] - [Draw Point (x, y)] command to draw point [E].

3. Select point C and point E in turn, select the [Construction]-[Trajectory] menu command to draw the interval function image.

4. Measure the abscissa value of the output point D in the same way, select the [Data]-[Calculate] menu command, click [xD] in the dialog box, [OK] 】. Select two xD, select [Draw]-[Draw Point (x, y)] menu command, and draw point F.

5. Select point D and point F, select the [Construction] - [Trajectory] menu command to draw the image of the function y=x in the interval. Edit the expression of the piecewise function in Word, copy and paste it into the geometry sketchpad.

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