Plot the tangent line to the graph of the function

at the point **x = 8** together with the graph of this function.

Using the TI-85 graphing calculator:

[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.
- Press the GRAPH key and then pick
**y(x)=**by pressing the F1 key. - If necessary, keep pressing F4 key until only
**y1=**appears on the screen. - Type in
**ln(x - 6)**and press the ENTER key.

- The range settings for the graph above is
**[5, 10]**×**[- 2, 2]**: - Press the MORE key so that
**MATH**appears in the menu. - Press the F1 key to choose
**MATH**. - Press the MORE key twice so that
**TANLN**appears in the menu. - Press the F3 key to choose
**TANLN**. - There is a blinking cursor on the graph at
**x = 7.5**; using the arrow keys move this cursor along the graph so that the**x**value, which is indicated at the lower left hand corner of the screen is as close to**8**as possible. - Press the ENTER key to draw the tangent line.