Then click the segment creator or ray creator.ДЄ new segment or ray is added to the highest point of a selected segment, or to the end point of a selected ray. If there is a segment or ray currently in the Graph Window, click the segment or ray you want to add to (or click its symbolic function area).The new segment or ray is created at the origin. Then click the segment creator or ray creator.

If there are no line segments or rays currently in the Graph Window, click first in the symbolic function area.

You can create as many segments or rays as you wish. To add a new segment to a piecewise function, you must use the Graph Window. Location of the Visibility Checkbox Adding a New Segment to a Piecewise Function (A check mark appears, showing that the function is now visible on the graph.) To make a function visible on the graph, click its Visibility Checkbox. To compare the visual representations of two or more functions in the graph window, you must make them visible on the graph. When you finish, you can close the dialog box by clicking on the X in the box's upper right corner. Use the up and down arrows on the right side to change the number.Д¬hanges in the numbers will be reflected in the line segment or ray.ДЈ. Click in any of the squares with numbers to select them (they are blue when selected).Дў. You can choose either a Point-Intercept Form or a Point-Slope Form by clicking the tabs.ДЎ. To change the function numbers, click once on the Symbolic Expression. (The line segment or ray also changes accordingly.) You can change the symbolic expression of a function. Changing a function (using the symbolic representation) Note The slope of a ray can only be modified using the symbolic expression of the ray. The slope and length will not change.ДЄ ray has only one 'handle.' The other end (an orange arrow which may be hidden) goes off screen to infinity.

Click and drag the anywhere in the middle of the segment (the line itself) to move the segment without changing its length or slope.Д¬lick and drag in the center of the ray to move it.

A selected line segment displays 'handles' at each end.Д¬lick and drag either of the segment ends to change the length, slope, or y-intercept. (Their symbolic expressions change accordingly.) To move a line segment:Д¬lick on it to select it. You can move both line segments and rays in the Graph Window. Changing a Function (using the graphical representation) If you change the numbers, the line will move.ДЄll functions are represented both symbolically and graphically in the Piecewise Linear Grapher.

If you move the line the numbers will change. Notice how the symbolic expression matches the locations of the ends of the orange segment. When the tool first opens, you see a single orange segment starting at point (0,0) and continuing to the right and up until it reaches point (5,5).ДЄt the upper right, you see a piecewise function with a single symbolic expression. Click to launch the Piecewise Linear Grapher This will make the concepts clearer and allow you to experiment. To use this guide, it helps to have the Piecewise Linear Grapher open. The illustration below shows the interface and names of the different areas.Д®ach of these areas will be explained in this guide. Identifying When Something Is not a Function Getting to Know the Interface Using the Slider Bar and Motion (or Model) Object Table of ContentsД¬hanging a Function (using the graphical representation)Д¬hanging a function (using the symbolic representation)ДЄdding a New Segment to a Piecewise FunctionДeleting a Segment from a Piecewise Function The information presented here is designed to familiarize you with all the functionality of the Piecewise Linear Grapher. You can also use a built-in tool to capture a screen shot of your work. You can customize the xвЂ‘ and yвЂ‘axis, and add your own labels. The Grapher lets you enter up to four linear functions and compare the characteristics of each. Users can display and modify each interval of a function. The Seeing Mathв„ў Piecewise Linear Grapher (PLG) provides a real-time, two-way connection between symbolic and graphic representations of piecewise linear functions, so that changes in one representation instantly cause changes in the other. Standard characteristics of linear functions.The continuity and discontinuity of functions.

Piecewise function grapher