TABLE

• The TABLE function will find y-values corresponding to given x-values.

Example

y = f(x) is given by

4xx4x)x(f 23 • Enter the given function into Y1.

• Go to the Table Setup screen, or TBLSET.

Slide 2

Example

y = f(x) is given by

4xx4x)x(f 23

• For TblStart (table start), enter the smallest x-value for which you would like to find the corresponding y-value. In this case, enter zero, if not already shown.

• For Tbl (change in table), enter the increment for the x-values. In this case, enter one, if not already shown.

TABLE

Slide 3

Example

y = f(x) is given by

4xx4x)x(f 23

• Set both Indpnt (independent variable) and Depend (dependent variable) to “Auto”, if not already shown. To do this, arrow down to the appropriate line, with the blinking cursor on Auto, and press ENTER.

• Go to TABLE.

TABLE

Slide 4

• Note the following:

(1) In the x-column of the table, the first value is 0 ...

which corresponds to the TblStart value in setup.

(2) The values in the x-column are in increments of 1 ... which corresponds to the Tbl value in setup.

TABLE

Slide 5

(3) Several y-values are given in the Y1 column ...

in response to Auto in setup.

(4) In the first row of the table, Y1 = -4 when x = 0.

TABLE

4xx4x)x(f 23 at x = 0.

This corresponds to the evaluation of the original function

Slide 6

(6) The first row of the table yields the ordered pair (0,-4) on the graph of f, the second row corresponds to the point (1,0) on the graph of f, etc.

(5) The fourth row shows a y-value of 56 corresponding to an x-value of 3.

TABLE

4xx4x)x(f 23 evaluated at x = 3 is ...

564336274)3()3(4)3()3(f 23

The function

Slide 7

(7) Pressing the up arrow five times results in the following screen. Pressing the up and down arrows cause the values in the x-column to increase or decrease by one. It is also possible to hold down either arrow key and watch the table scroll.

TABLE

Slide 8

• Now go back to TBLSET and change TblStart to 0 and Tbl to 2.

• Go to TABLE.

• Note that the values in the x-column are in increments of 2 this time.

• In TBLSET make the following changes.

TABLE

Slide 9

• Then go to TABLE.

• The start value for x is now -10, while the increments in x are 10

TABLE

Slide 10

• Sometimes only a few evaluations are needed, or the x-values are far apart. In these cases it is easier to use the “Ask” function on the independent variable.

Example

Find f(0), f(-10), and f(22):

4xx4x)x(f 23

• Go to TBLSET andarrow down to the Ask in the Indpnt row, and press ENTER.

TABLE

Slide 11

• No changes need to be made to TblStart or Tbl, since the table in Ask mode is not affected by their values.

Example

Find f(0), f(-10), and f(22):

4xx4x)x(f 23

• Go to TABLE.

• If there are entries in the x-column on your calculator screen, press the delete key DEL several times until the column is blank.

TABLE

Slide 12

Example

Find f(0), f(-10), and f(22):

4xx4x)x(f 23

• Now enter the three desired values, x = 0, -10, 22, pressing ENTER after each.

• The corresponding function values are given. Try entering x = 100.

• The function value is given in scientific notation. Arrow over to the function value to see the exact value on the bottom of the screen.

TABLE

Slide 13

TABLE

• TABLE can be very helpful in comparing function values of several functions.

• Enter the given functions into Y1 and Y2.

• Let functions f and g be given by the following:

4xx4x)x(f 23 1x2x)x(g 2

Slide 14

TABLE

• In TBLSET use the following settings.

• Go to TABLE.

• Note that function values for both f and g are given at the same time in the table. For example, f(3) = 56 while g(3) = 4.

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