- Try out
`tangentline`on the following examples. This part of the lab is intended to help you become more familiar with the concept of the tangent line to a function at a point**x=a**. Use the given values of**a**along with another value of your choice.

- with
**a = 2**and**a = -3**. - with
**a = 0**and . - with
**a = 2**and**a = -1**.

- with
- More generally, the graphs of two functions and are
tangent at
**x=a**if and . For example, the functions and are tangent at**x=0**, but the functions and are not tangent at**x=0**, even though they have the same slope, because and so the graphs of**p**and**q**don't intersect at**x=0**.Show that is tangent to at

**x=a**under this more general definition. - Suppose that and . Determine if the
following statements are true or not.
- is tangent to at
**x=-1**. - is tangent to at
**x=1**. - is tangent to at
**x=1**.

- is tangent to at

Wed Sep 20 11:01:11 EDT 1995