Graphing Functions

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Graphing Greatest Integer Function f(x) = [x]

To graph the greatest integer functions on the TI 83 calculator you will need to use INT function .

To locate INT on the TI 83 start by pressing MATH then use the right arrow to move the cursor to NUM then use the down arrow to move the cursor to INT .

To graph the greatest integer functions on the TI 83 you need to be in Dot Mode.

Press the MODE button. Use the down arrow to move the cursor to CONNECTED . Now use the right arrow to move the cursor to DOT and press ENTER . You will now be in

Dot Mode.

Graphing Piecewise Defined Functions

To graph piecewise functions on the graphing calculator you will need to use the TEST button (2 nd/MATH buttons) to get a list of the inequality symbols that will be needed to graph piecewise functions.

In graphing piecewise defined functions it is best to be in Dot Mode.

Press the MODE button. Use the down arrow to move the cursor to CONNECTED . Now use the right arrow to move the cursor to DOT and press ENTER . You will now be in

Dot Mode.

Example: graph

2

3 x x

1

2 x 2 x

 

3 x x

1

1

Start by pushing Y= . Now enter the following (2x+1) (x at this point press 2nd then

TEST then 6 , this will give you the less than or equal symbol. Now finish with -3) . The equation should look like

Y

1

=(2x+1)(x ≤-3)

To do the middle part, 3x+2, -3<x<1, enter the following (3x+2)(-3 at this point access the TEST button and enter the appropriate symbol. Now finish with x)(x again access

TEST button and use the appropriate symbol. Now finish with 1). The equation should look like

Y

2

=(3x+2)(-3<x)(x<1)

1

The third part of this piecewise function is done the same way the first part was done.

The equation should look like

Y

3

=(x^2-2)(x ≥1)

Press the GRAPH button to see the graph.

Graphing Absolute Value f(x) = | x |

To graph absolute value functions on the TI 83 calculator you will need to use ABS function .

To locate ABS on the TI 83 start by pressing MATH then use the right arrow to move the cursor to NUM then select 1:abs(.

Example: graph ( )

| 3 x

2 |

2

3

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