## Precalculus Test Out Practice Exam

Part 4 Test 3 Time: 3 hours

1. Convert the angle of magnitude to degree measure in the degree-minute-second format.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

2. A truck is moving at a rate of 60 miles per hour, and the diameter of its wheels is 24 inches. Find the angular speed of the wheels in radians per minute.
a)
5280.
b)
2640.
c)
120.
d)
30.
e)
None of the above.

3. Find the exact value of the if the point (-1,4) is located on the terminal side of the angle and the angle is in standard position.
a)
.
b)
.
c)
-4.
d)
.
e)
None of the above.

4. Given that and the terminal side of the angle is located in the third quadrant, find the exact value of the .
a)
0.8320518.
b)
-0.8320518.
c)
.
d)
.
e)
None of the above.

5. Find the reference angle to the angle equal to
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

6. Find the period of the function .
a)
3 .
b)
3.
c)
2 .
d)
2.
e)
None of the above.

7. find the exact value of .
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

8. Find the exact value of .
a)
5.
b)
Undefined.
c)
.
d)
1.
e)
None of the above.

9. A ship leaves port at noon and sails at a speed of 18 knots. Its bearing is N W. If the port is positioned at the origin, determine the coordinates of the position of the ship at 6 pm.
a)
N W.
b)
N W.
c)
N E.
d)
S W.
e)
None of the above.

10. The height of a radio transmission tower is 70 meters, and it casts a shadow of length 30 meters. Find the angle of depression. Round to the nearest degree.
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

11. Find the domain of the function .
a)
All real numbers x such that .
b)
All real numbers x such that .
c)
All real numbers x such that .
d)
All real numbers x such that , or .
e)
None of the above.

12. Find the inverse of the function , .
a)
Since this function is not one-to-one, there is no inverse.
b)
.
c)
.
d)
.
e)
None of the above.

13. If and , find .
a)
15.
b)
21.
c)
3.
d)
-18.
e)
None of the above.

14. Which of the following equations represents a reflection of the graph of f(x) across the y-axis?.
a)
f(3x-7+2.
b)
f(4x+9)-8.
c)
f(10-3x)+20.
d)
-f(x).
e)
None of the above.

15. Where is the point (1,3) on the graph of f(x) located after the graph is reflected across the y-axis, shifted to the right 10 units, and shifted down 10 units?
a)
(11,7).
b)
(-11,-7).
c)
(9,-7).
d)
(11,-13).
e)
None of the above.

16. Find the equation of the parabola with vertex (2,2) that passes through the point (4,4). What is the leading coefficient in this equation?
a)
.
b)
-2.
c)
4.
d)
1.
e)
None of the above.

17. Find the real zeros of the polynomial . What is the sum of these real zeros?
a)
4.
b)
-14.
c)
5.
d)
-5.
e)
None of the above.

18. Divide by . What is the quotient?
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

19. Simplify . What is the real par of the answer?
a)
.
b)
.
c)
.
d)
.
e)
None of the above.

20. Find the slant asymptote of the rational function .
a)
There is no slant asymptote.
b)
y=x+7.
c)
y=x+1.
d)
y=x+5.
e)
None of the above.

21. Find the exact value of .
a)
0.477121
b)
7
c)
1.098612
d)
1
e)
None of the above.

22. Solve for x in the equation .
a)
0
b)
2
c)
1
d)
e)
None of the above.

23. Find the value of b in the exponential function that passes through the points (5,40) and (10,400).
a)
.2
b)
4
c)
0.460517
d)
0.39794
e)
None of the above.

24. How many years will it take an investment to double if it is invested at 5% compounded quarterly?
a)
13.86
b)
14.21
c)
55.8
d)
.20
e)
None of the above.

25. Find the point of intersection of the graphs of and .
a)
(0,7).
b)
(0,3).
c)
.
d)
.
e)
None of the above.

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Fri Oct 17 10:44:25 MDT 1997