The TI-89 is a powerful, hand held graphing calculator that can save you hours of time on **calculus homework.** One of the most basic requirements in any calculus class is the ability to graph any function. A **function **is a type of equation that produces one — and only one — output (“y”) for every input (“x”).

You can graph a function on the TI-89 graphing calculator in a snap with these simple steps:

## How to graph a function on the ti-89: Steps

Sample problem: Graph the following function:

f(x) = x^{2} + 8x

Step 1: Press the HOME key.

Step 2: Press the diamond key (♦) and then press the F1 key to enter into the y=editor.

Step 3: Press ENTER to move to the input line at the bottom of the screen.

Step 4: Press the following keys to enter the example function into a “y=” slot:

x ^ 2 + 8 x ENTER.

Step 5: Press the diamond key and then press the F3 key to view the graph of the function.

That’s it! You’re done!

## Help! My Graph isn’t Showing!

**If your graph is not showing on the screen**, try these tips:

- Double check to make sure you’ve entered the function correctly.
- Make sure the function isn’t turned off. In the y = editor window, pressing F5 and making a selection will turn a function off. F4 and selecting a function will turn the function on. You want to make sure your entered function is ON.
- Use the zoom feature F2 and then 2 or 3 to zoom in and out of the graph. This will automatically adjust the viewing window.
- Try the “standard zoom” — setting the window to -10,10 for both the y and x values. You can also try zoombox.

## How to Evaluate a Function

Once you’ve entered your function, you will need to know how to **evaluate it **at certain values. F

Sample problem: Evaluate the following function at x = 3: f(x) = x^2 + 5x + 4

Step 1: Press thediamond (♦) button and then press F1 to enter the y=editor.

Step 2: Press the ENTER key to go down to the entry field for y1.

Step 3: Press x ^ 2 + 5 x + 4.

Step 4: Press the ENTER key to enter the function into the “y1” slot.

Step 5: Press the ENTER key.

Step 6: Evaluate the function at x = 3 by pressing Y1(3).

Step 7: Press the ENTER key. The answer you see should be 28.

That’s it! You’re done!

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