Given the family of functions

with parameter **a**, draw the graphs for the parameters **a = 0, 1, ..., 4**.

Using

[Press here to see animation again!]

- If you are not familiar with the graphing of functions on the TI-85, then first read the Initial Setup page from Little's Basic Guide to the TI-85.
- Type in
**{0,1,2,3,4} STO A** - Press ENTER key.
- You can find the symbol "
**{**" by pressing 2^{nd}LIST and F1; the symbol "**}**" is then obtained by pressing F2. - Press the GRAPH key and then pick
**y(x)=**by pressing the F1 key. - If necessary, keep pressing the F4 key until all preexisting graphs have been deleted.
- At the prompt,
**y1= ,**type in - There are three ways to enter "abs" :
- Press 2
^{nd}CATALOG followed by the ENTER key. - Press 2
^{nd}MATH, then F1, and then F5 - Or, you can simply type in "a" "b" "s", but be sure you use lower case lettering.
- IMPORTANT: "
**A**" in step 7 must be upper case. - The
**RANGE**settings for the graph above are [-10, 10] × [0, 18]: - Select
**GRAPH**by pressing F5. - Note that the graphs of the functions are plotted in the order in which the values are stored in "
**A**".

Constructed with the help of Chris O'Brien.