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Graphing Calculator: Tables
The TABLE feature of the calculator can be helpful in many different situations. Among its uses are:
  • automatically creating and displaying a table of values for a function
  • using the values in the table to help determine window settings
  • seeing y–values for two functions at the same time
  • creating a table of y–values based on your input of x–values
To use any of the table features, you must first set up the calculator.

By pressing you will get the Table SetUp screen. You will input four pieces of information in order to view a table.
TblStart is the x–value where you would like to start to table of values.

DTbl is the increment by which you wish to count. So a TblStart = 0 and DTbl = 1 will start the table of values at 0 and use an increment of 1.

Indpnt and Depend are asking you how much you would like the calculator to do for you. If both are on Auto then the calculator will automatically fill in both the x–values (the independent variable) and the y–values (the dependent variable) in the table. By changing Indpnt to Ask and leaving Depend in Auto, you can input your own x–values and the calculator will automatically compute the y–values. This option then eliminates the need for setting the starting point and increment since you will be choosing your own x–values.

To choose Auto or Ask, you must place your cursor over the word and press ENTER. Otherwise the command will not register.

Setting Depend to Ask has no practical value. You cannot input a y–value and have the calculator return the corresponding x–values. You will most likely never need to set the Depend prompt to Ask.
Now that we know how to set up the table, let’s look at one. A table of values is created for a function. So you must have something entered into y1. You may have more functions entered, but an entry in y1 is a requirement for seeing a table.

Enter y1 = 3x + 2 and y2 = 4x - 3

Set the table to begin at 0 with an increment of 1 with both the independent and dependent variables on Auto.

To see the table of values, press .

Using this table, you can see that:
  • you might want to adjust your window to see a complete graph,
  • the functions are equal at x = 5.
Pressing confirms the information in the table.

Try setting up a table of values for y = 3x2 + 15x -19. First use the automatic setting and then input your own x–values. You should be able to note that:

  • the function crosses the x–axis between x = 1 and x = 2
  • an appropriate window might be x:[-10, 10] x 1 y:[-100, 300] x 50
  • the minimum value (the vertex of the parabola) occurs between x = -3 and x = -2
Since you cannot see the values when x = -3 and x = -2, you can use the up and down arrows to scroll through the table of values to see a wider range of values.

These are the most common things you will use the TABLE feature for. If you need further instruction, please see the User’s Guide.

S Taylor

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