Section 7.1 Worksheet (including the calculus of inverses):

Assigned problems: Exercises pp. 414-416, #36, 38, 43, 49, 50 (due Thursday, 4/17).

1. Reminders:
   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?

2. What properties of the function f are reflected in the function , obtained by reflecting f in the mirror of the line y=x?

3. How do you compute the derivative of the inverse function, provided it is differentiable?

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! Once again, be careful to distinguish between these two cases.