Display Functions in a Table on the TI-83 Plus

After you’ve entered the functions in the Y= editor, you can have the TI-83 Plus graphing calculator create a table of functional values. To create a table, perform the following steps:

  1. Highlight the equal sign of those functions in the Y= editor that you want to appear in the table.

    Only those functions in the Y= editor that are defined with a highlighted equal sign appear in the table. To highlight or un-highlight an equal sign, press [Y=], use the

    image0.png

    keys to place the cursor on the equal sign in the definition of the function, and then press [ENTER] to toggle the equal sign between highlighted and un-highlighted.

  2. Press [2nd][WINDOW] to access the Table Setup editor.

    image1.jpg
  3. Enter a number in TblStart and then press [ENTER].

    TblStart is the first value of the independent variable x to appear in the table. Here, TblStart is assigned the value 5.

    To enter the number you have chosen for TblStart, place the cursor on the number appearing after the equal sign, press the number keys to enter your new number, and then press [ENTER].

  4. Enter a number in

    image2.png

    and then press [ENTER].

    image3.png

    gives the increment for the independent variable x. Here,

    image4.png

    is assigned the value –1.

    To enter the number you have chosen for

    image5.png

    place the cursor on the number appearing after the equal sign, press the number keys to enter your new number, and then press [ENTER].

  5. Set the mode for Indpnt and Depend.

    To change the mode of either Indpnt or Depend, use the

    image6.png

    keys to place the cursor on the desired mode, either Auto or Ask, and then press [ENTER].

    To have the calculator automatically generate the table for you, put both Indpnt and Depend in Auto mode. This table was constructed in this fashion.

    image7.jpg

    If you want to create a user-defined table in which you specify which values of the independent variable x appear in the table — and then have the calculator figure out the corresponding values of the functions — put Indpnt in Ask mode and Depend in Auto mode. (How you construct the table is explained in Step 6.)

    For a user-defined table, you don’t have to assign values to TblStart and

    image8.png

    in the Table Setup editor.

    The other combinations of mode settings for Indpnt and Depend are not all that useful unless you want to play a quick round of “Guess the y-coordinate.”

    image9.jpg
  6. Press [2nd][GRAPH] to display the table.

    When you display the table, what you see on the screen depends on the modes you set for Indpnt and Depend in Step 5. And what you can do with the table also depends on these modes. Here’s what you see and what you can do:

    • An automatically generated table:

      If Indpnt and Depend are both in Auto mode, then when you press [2nd][GRAPH], the table is automatically generated. To display rows in the table beyond the last row on the screen, repeatedly press

      image10.png

      until they appear. You can repeatedly press

      image11.png

      to display rows above the first row on the screen.

    • A user-generated table:

      If you put Indpnt in Ask mode and Depend in Auto mode so that you can generate your own table; then when you display the table, it should be empty. If it’s not, clear the table.

      In an empty table, key in the first value of the independent variable x that you want to appear in the table, and then press [ENTER]. The corresponding y-values of the functions in the table automatically appear. Key in the next value of x you want in the table and press [ENTER], and so on. The values of x that you place in the first column of the table don’t have to be in any specific order, nor do they have to be between the Xmin and Xmax settings in the Window editor.

The word ERROR appearing in a table doesn’t indicate that the creator of the table has done something wrong. It indicates that either the function is undefined or the corresponding value of x is not a real-valued number.

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