Section 7.1 Worksheet:

Assigned problems: Exercises pp. 414-416, #2-10, 12, 14, 16, 22, 23, 34, 38 (due Monday following Thanksgiving).

1. What is a one-to-one function, and how can you spot it at a glance?

2. How is the horizontal line test related to the vertical line test?

3. How is the graph of obtained from the graph of f?

4. What is the three-step strategy suggested in our text for finding the inverse function from a given function f?

5. Example #6, page 413 gives us an example of what to when we need an inverse function of a function which is non-invertible. This suggests how we might create an inverse function for important functions like and . How so?

Notes:

1. There is a terrible risk of confusion when it comes to the notation for inverse functions. We denote the inverse of f as , but historically this means ``f to the negative one power,'' and so students believe that means : this is incorrect! Be careful to distinguish between these two cases.