Math 125 Test 1 6 pts each 4 points free! Sept. 23, 1998

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. 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.

4. If f(x) = 9 - x2 , find

5.

6.

7.

8.

9. If , find

10. 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 right to answer problem 11

Use the figure at below to answer problem 11

11. a)

b)

c)

d)

12. Find all Horizontal and Vertical Asymptotes, and sketch:

Differentiate:

13. f(x) = x4 - 5x2 + 3

14. f(x) =

15. f(x) =

16. Find the slope of f(x) = 3x2 - 4x + 1 at the point (1, 0).