1. Right after a certain drug is administered to a patient with rapid heart rate, the heart rate plunges dramatically and then slowly rises as the drug wears off. Sketch a possible graph of heart rate as a function of time from the moment the drug is administered.

2. Describe this animal's life.

3. Consider a graph of Fahrenheit temperature, (vertical axis) in o F versus Celsius temperature, (horizontal axis) in o C, and assume the graph is a line. You know that 212o F and 100o C both represent the temperature at which water boils. Similarly 32o F and 0o C both represent water's freezing point.

a) What is the slope of the graph?
b) What is the equation of the line?
c) Use the equation to find what Fahrenheit temperature corresponds to 20o C.
d) What temperature is the same number of degrees in both Celsius and Fahrenheit?

4. Write an equation of the dependent variable (vertical axis) as a function of the independent variable (horizontal axis) for the graph on the right. Describe in complete sentences the situation being illustrated by the graph.

5. If f(x) = 4 - x2 , find .

6.

7.

8.

9.

10. If , find ?

11. a) Write a compound function to describe the time in days retirees were allowed to use the company car after retirement if all those retiring with between 20 and 30 years inclusive get the number of days equal to term of service in years (i.e. if Wanda put in 23.8 years, she would get 23.8 days use of the company car ), anyone retiring before 20 years gets 20 days, anyone retiring with more than 30 years gets 3 days for each year of service.

b) For what ages does this function have limits that do not exist?
c) For what ages does this function have limits that do exist?

Use the figure at below to answer problem 12

12. a)

b)

c)

d)