## Precalculus Test Out Practice Exam

Part 3 Test 2 Time: 3 hours

1. Determine on what interval(s) the function is decreasing.
a)
.
b)
.
c)
Increasing Everywhere.
d)
.
e)
None of the above.

2. Identify any asymptotes of the graph of .
a)
y=2.
b)
.
c)
x=-9.
d)
There are no asymptotes.
e)
None of the above.

3. If you deposit \$5,000 in a trust fund that pays 9.5% interest, compounded continuously, which of the following values is closest to the amount that will be in the trust after 50 years. Rounded to the nearest \$1.00.
a)
\$116.
b)
\$577,921.
c)
\$744,130.
d)
\$14,946.
e)
None of the above.

4. The population model for a certain town is given by the equation

where t is the time in years, with t=0 corresponding to 1990. What will the population be in 2000?

a)
.
b)
3,351.
c)
1,865.
d)
6,872.
e)
None of the above.

5. Find the domain of the function .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

6. Find the inverse function of the function .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

7. Use the properties of logarithms to simplify the expression , and write as a sum difference, and/or constant multiple of logarithms.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

8. Evaluate .
a)
2.481262.
b)
4.754921.
c)
1.772095.
d)
2.09691.
e)
None of the above.

9. Solve .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

10. Solve .
a)
.
b)
0.980829.
c)
0.693147, 0.980829.
d)
.
e)
None of the above.

11. Solve .
a)
.
b)
4.
c)
.
d)
.
e)
None of the above.

12. Solve .
a)
.
b)
5.
c)
1,6.
d)
.
e)
None of the above.

13. The demand equation for a certain product is given by

Find the demands x for price .

a)
1426.
b)
1079.
c)
1860.
d)
1513.
e)
None of the above.

14. How many years will it take your money to double if you deposit it into a fund paying 10% compounded monthly?
a)
7.27.
b)
10.
c)
241.
d)
6.96.
e)
None of the above.

15. How many years will it take your money to double if you deposit it into an account paying 10% simple interest?
a)
7.27.
b)
10.
c)
6.96.
d)
241.
e)
None of the above.

16. If the half-life of a substance is 500 years, how many years will it take for 60% of the substance to disappear?
a)
600.
b)
300.
c)
661.
d)
369.
e)
None of the above.

17. If bacteria is growing at the rate of 10 cells per second, how long will it take for the culture to reach 1 million cells?
a)
10 seconds.
b)
8 seconds.
c)
5.4216 seconds.
d)
6 seconds.
e)
None of the above.

18. Divide Which of the following is a power model?
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

19. Find the value of b in the exponential function that passes through the points (0,2) and (4,3).
a)
2.
b)
-0.101366.
c)
0.101366.
d)
0.292481.
e)
None of the above.

20. Find the range of the function .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

21. Find the inverse of the function .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

22. Solve the following system of equations for x:

a)
-14.
b)
14.
c)
10.
d)
-10.
e)
None of the above.

23. Solve the following system of equations for y:

a)
3.
b)
-2.
c)
4.
d)
1.
e)
None of the above.

24. Find the value of b in the equation of the parabola that passes through the points (0,6), , and .
a)
1.
b)
6.
c)
.
d)
.
e)
None of the above.

25. A small corporation borrowed \$800,000 to expand its product line. Some of the money was borrowed at 8%, some at 9%, and some at 10%. How much was borrowed at 9% if the annual interest was \$67,000 and the amount borrowed at 8% was five times the amount borrowed at 10%.
a)
\$125,000.
b)
\$50,000.
c)
\$625,000.
d)
\$5,000.
e)
None of the above.