Chapter 3.1, Problem 22E

Use the Vertical Line Test to determine whether the graph represents y as a function of x.

When examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal stretch from a vertical stretch?

Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.

Sketch a graph of the derivative of the function f shown to the right. Which graph below shows a sketch of the derivative of f? O A. ----- ----------- O B. ofni C O C. ------ TH HA O D. ----------

Distance between cars At noon, car A is 10 feet to the right and 20 feet ahead of car B, as shown in the figure. If car A continues at 88 ft/sec (or 60 mi/hr) while car B continues at 66 f/sec (or 45 mi/hr), express the distance d between the cars as a function of t, where t denotes the number of sec- onds after noon. Exercise 78

What is the derivative of a function ƒ? How is its domain related to the domain of ƒ? Give examples.

(a) Trace or copy the graph of the given function f, then sketch a graph of f' below it. ул

Explain what a derivative is. Give as much information as possible. (Some things to think about: What does a derivative represent? How do we find derivatives? How do we use derivatives?