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Creating a Table of Values with the Graphing Calculator Dr. Gisela Acosta Given the equation y = 3x – 72, we know that y is the dependent variable (its value depends on the value of x) and x is the independent variable. To create a table of values that satisfy this equation, we can just pick a value for x, substitute it into the equation, and solve for y. Example: If x = -2, y = 3(-2) - 72 y = -6 - 72 y = -78 If x = -1, y = 3(-1) - 72 y = -3 - 72 y = -75 and so on. A sample table for this equation is: x -2 -1 0 1 2 y -78 -75 -72 -69 -66 Some tables do not require the use of a calculator, since we work with small numbers. Nevertheless, knowing how to work with the graphing calculator will make it easier to make tables for more complicated equations. How can we create a table of values with the graphing calculator? Let us generate the previous table with the graphing calculator. We will make a table of ordered pairs that satisfy the equation y = 3x – 72, for integer values of x beginning at -2. 1. We first press the ! key, and enter the equation Y1 = 3x – 72. You can find the ! key on the upper-left hand corner of the calculator. (Press C to erase any equations that were previously used). Your screen will look like this: (continued) 2. Press ` ç (This is the second function associated with the @ key) You will see a similar screen: 3. Under TblStart enter the beginning value: (-)2 (Note: Use the negative sign _ at the bottom of your calculator, not the minus sign -) 4. The symbol Tbl = 1 means adding 1 to the preceding x value 5. Indpnt: Depend: Auto Auto Ask Ask (these are the x values) (these are the y values) choose Auto choose Auto This is the corresponding screen: 6. Press ` ê (This is the second function associated with the % key) to see your new table; notice these are the same values we found before :-) You can use the arrows to scroll up and down the table. Practice: Make a table of ordered pairs that satisfy the equation y = 4x – 60, for integer values of x beginning at -5. Note: You can choose to supply the x-values yourself by setting “Indpnt” to “Ask”. Then, you can press ` ê. The calculator will display “x = ” and you can type your values and press e after each one.