A graphic method for drawing function images within a limited range using geometric sketchpad

The article written by php editor Zimo introduces the method of drawing function images within a limited range with geometric sketchpad. Using the geometric sketchpad, users can easily draw images of various functions, from simple linear functions to complex polynomial functions, all of which can be clearly presented. These methods are simple and easy to follow, suitable for both beginners and professionals.

Establish a coordinate system. Open the Geometry Sketchpad, create a new blank file, click [Customize Tools] on the left sidebar, select Mini Coordinate System, Jingjing | Oriental Coordinate System [No Parameter Version], pull out a coordinate system, and click System Initialization.

Draw function graph. Click the [Drawing] menu in the upper menu bar, select Draw a new function from its drop-down option, enter a function expression such as y=1/x in the pop-up dialog box, and click OK to draw the image within the entire definition domain.

Thinking: What should I do if I want to draw an image on the closed interval [-4, 4]?

Select the function image, right-click the mouse and select Properties. Click the drawing tab in the pop-up dialog box, enter the specified range [-4, 4], click OK, and the function image as shown in the figure is drawn.

Thinking: According to the above method, the inverse proportional function image between -4 and 4 is drawn. What should we do if we want to draw images in the range of [-4, -0.25] and [0.25, 4]?

Select the function image, right-click the mouse, select Properties, select the drawing label in the pop-up dialog box, enter the range [0.25, 4], and click OK.

Thinking: In this way, only the right part of the function is drawn, so how to draw the left part?

Click the [Drawing] menu in the upper menu bar, select [Draw New Function] from the drop-down option, and then draw an inverse proportional function image. Select the image, right-click and select Properties, select Drawing in the pop-up dialog box, enter the range [-4, -0.25], and click OK.

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