AP Calculus AB Name: ________________________________

Problem Set C4-C5 Date: _________________________________

C4: Use advanced mathematical notation to describe properties of functions.

1. Find the zeroes of the following functions and sketch their graph.2. Identify the intervals where the following functions are increasing or decreasing, and state their concavity.

a. y=x2−5b. f ( x )=3 x2+2 x−9c. h (t )=−t 3−2 t+4

C5: Represent a function verbally, numerically, graphically, or algebraically.

1. You put some ice cubes in a glass, fill the glass with cold water, and then let the glass sit on a table. Describe how the temperature of the water changes as time passes. Then sketch a rough graph of the temperature of the water as a function of time.

2. Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is well maintained.

3. Use the data below to sketch a rough graph of N as a function of t.

t 1990 1992 1994 1996 1998 2000N 11 26 60 160 340 650