Function Table

I displays a menu with the following options:

1:Add/Edit Func

Lets you define the function f(x) or g(x) or both and generates a table of values. r on a value in the table will toggle the number format.

2:f(

Pastes f( to an input area such as the Home screen to evaluate the function at a point (for example, f(2)).

3:g(

Pastes g( to an input area such as the Home screen to evaluate the function at a point (for example, g(3)).

The function table allows you to display a defined function in a tabular form. To set up a function table:

1. Press I and select Add/Edit Func.
2. Enter one or two functions and press <.
3. Select the table start, table step, auto, or ask-x options and press <.

The table is displayed using the specified values. Table results will display as Real numbers in DEC mode only. Complex functions evaluate on the home screen only.

Start

Specifies the starting value for the independent variable, x.

Step

Specifies the incremental value for the independent variable, x. The step can be positive or negative.

Auto

The calculator automatically generates a series of values based on table start and table step.

Ask-x

Lets you build a table manually by entering specific values for the independent variable, x. The table has a maximum of three rows, but you can overwrite the x values as needed to see more results.

Note: In the Function Table view, press - to display and edit the Table Setup wizard as needed.

Problem

Find the vertex of the parabola, y = x(36 - x) using a table of values.

Reminder: The vertex of the parabola is the point on the parabola that is also on the line of symmetry.

I 1 -

z ( 36 U z )

< - <

15 $ 3 $ $

<

After searching close to x = 18, the point (18,324) appears to be the vertex of the parabola since it appears to be the turning point of the set of points of this function. To search closer to x = 18, change the Step value to smaller and smaller values to see points closer to (18,324).

Problem

A charity collected $3,600 to help support a local food kitchen. $450 will be given to the food kitchen every month until the funds run out. How many months will the charity support the kitchen?

Reminder: If x = months and y = money left, then y = 3600 - 450x.

I 1

-

3600 U 450 z

< - <

0 $ 1 $ "

< <

Input each guess and press <.

Calculate the value of f(8) on the Home screen.

% s I

2 Selects f(

8 ) <

The support of $450 per month will last for 8 months since y(8) = 3600 - 450(8) = 0 as shown in the table of values.

Problem

Find the intersection of the lines f(x)=L2x+5 and g(x)=x-4.

I 1 - M 2 z T 5

< - z U 4

< 2 < 1

Select Auto

< <

< $

The two lines intersect at (x,y) = (3,L1).