Wednesday, August 7, 2013

Graph Pictures and Functions on a Calculator

In addition to the ability to display the numbers and symbols required for mathematical formulas, graphing calculators have a bit-addressable display that allows them to plot mathematical functions over a given interval. Graphing calculators also include primitives to turn on any subset of the pixels on the screen, even if the resulting pattern does not correspond to the graph of any known mathematical function.

Instructions
1. Set the graphing mode that you need on your calculator. The directions will vary, depending on the make and model of your calculator, as well as the graphing mode that you wish to use. For example, on the TI-85 (a very popular model), select the "Func" graphing mode before plotting any functions. Press "2nd," and then "More." Navigate to the line that has the word "Func" at the beginning. Use the left and right arrow keys to select "Func". Press "Enter."

2. Select the coordinate system for the plot that you want to make. For example, on a TI-85, press "Graph," then "More," and then "F3." Move the arrow keys to "RectGC" and press "Enter." The next plot will use a rectangular, Cartesian coordinate system.

3. Enter the function that you wish to plot on the calculator's screen. For example, for the function: "y = x sin(2x)" on a TI-85, press "Graph," then "F1," and then "Clear," "x-VAR," "sin," "2," "x-VAR." Press "Enter" to have the calculator parse the formula and get ready to plot it.

4. Instruct the calculator to display the graph. For example, on a TI-85, press "Graph," and then "F5." The formula you entered in Step 3 will be plotted on the calculator's screen.

5. Create a picture by drawing individual lines and points, one at a time. A point is a particular position on a line where the start and end points happen to be the same. For example, on a TI-85, press "Graph," and then select "Draw." Use the arrow keys to move the blinking cursor to the point where the line should start, and then press "Enter." Do the same for the point where the line should end. The calculator will draw a straight line between the two points.

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