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TI nspire cx cas Calculator Project 6 - Piecewise Functions

ti nspire project 6 heading

This tutorial will show how to input and graph a piecewise function. Also, using tables, editing graphs, adjusting windows, changing colors, and various features of the TI Nspire will be explored.

Project

Graph the following function:

ti nspire project 6 piecewise function

Find f(9) and f(100) using tables

 

 

Step by Step Instructions and Illustrations

Turn on device

1: New Document

2: Add Graphs

Blank graph and Equation appear.

(If the equation didn't appear, try the "tab" button)

Enter the Piecewise Function

Press the "template" button (next to the "9")

Select the Piecewise function template.

Choose 3 function pieces ("OK")

Enter each equation and each corresponding domain.

x    ^   2   +   3

then, after the comma:   x    <    (-)     2

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***Note:  To get the inequalities menu,  "ctrl"   "="

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In the next line,

4

then, after the comma:   (-2)  <=   x  <   2

And, the third line,

(-)    2x     +    2

then, after the comma     x   "ctrl"  "="   and select >=   2

"Enter"

(A partial graph appears)

piecewise function project 6

 

To Change Viewing Window

"Menu"

4: Window/Zoom

4:  Zoom-out

Enter

(Click enter to zoom out)

OR, to get a better view:

"Menu"

4: Window/Zoom

1: Window Settings

x min  -10

x max  10

y min  -20

y max  20

"OK"    "Enter"

(A better centered graph)

piecewise project 6 centered graph

 

Tables and Values

To find f(9), open up the table.

"Menu"

7: Table

1: Split Screen Table

"Enter"

The table appears on the right.

Using the keypad, scroll down to 9.

The output is -16

To find f(100), change the table

"Menu"

2: Table

5: Edit Table Settings

Table Start: 100

"OK"   "Enter"

The output is -198

Then, to return to the graph,

"Menu"

2: Table

1: Remove Table

To Hide the Text

Place the cursor over the equations text

"Ctrl"  "Menu"

2: Hide

"Enter"

(the Text disappears)

To Change the Color

Place the cursor over a part of the graph

"Ctrl"   "Menu"

B: Color

1: Line Color

Select red (or another color)

"Enter"

To Change Line Thickness

Place cursor over function (over the lines)

"Ctrl"   "Menu"

3: Attributes

Select the line weight you'd like.

"Enter"

To Bring back the equation text

Place cursor over the graph lines

"Ctrl"  "Menu"

2: Label

___________________________________________

Webcomic #34 - "Math Nursery Rhymes" (5-27-12)

webcomic 34 math nursery rhymes

___________________________________________

 

Change -2x + 2  to  3x - 8. Then, find the minimum value.

"Menu"

3: Graph Edit/Entry

1: Function

(new blank function f(2) =   appears at the bottom)

***Press the up arrow on the keypad!

The piecewise function f(1) reappears.

Now, edit the equation..  (Use left arrow on keypad to move cursor to left... Then, use "del" key to delete)

"Enter"

The modified piecewise function appears.

To find the minimum value

"Menu"

6: Analyze graph

2: Minimum

Place the cursor on the left side.. Press the keypad

Move the cursor to the right side, shading over the minimum point....  Press the keypad again...

The minimum (2, -2) appears...

finding minimum of piecewise function

 

To Save your project

"Doc"

1: File

5: Save As

Enter the file name   (such as 'piecewise tutorial')

"Save"  "Enter"

You're Done!!

 

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Keys Used in this Project:

ti nspire cx cas calculator tutorial 6 keys

 

 

 

 

 

 

 

Piecewise Template:

piecewise template key

 

 

 

Inequalities, functions, and domains:

selecting inequalites and input function

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Window/Zoom Menu:

ti nspire zoom window drop down menu

 

 

 

 

 

 

 

 

___________________________

 

piecewise functions gate for link

PRACTICE working with Piecewise Functions

 

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Table of Values:

edit table settings on ti inspire

 

table of values ti inspire image

 

 

 

 

Modifying the graph attributes Menus:

ti inspire hide function

 

 

 

graph modification menus

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 


 

Piecewise Function Edit:

Edit a piecewise function image

 

 





 

 

Analyze Graph Menu:

ti nspire analyze graph menu

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Thanks for visiting. (Hope it helped!)

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