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.

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.

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.

4. Given that and the terminal side of the angle is located in the third quadrant, find the exact value of the .

5. Find the reference angle to the angle equal to

6. Find the period of the function .

7. Find the exact value of .

8. Find the exact value of .

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 bearing of the position of the ship at 6 pm.

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.

Answer: e) None of the above, because the answer rounded to the nearest degree is 67.

11. Find the domain of the function .

Answer: c) All real numbers x such that .

12. Find the inverse of the function , .

c)
.

13. If and , find .

14. Which of the following equations represents a reflection of the graph of f(x) across the y-axis?.

e)
None of the above. To be a reflection on the y-axis it would have to be f(-x).

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?

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?

17. Find the real zeros of the polynomial . What is the sum of these real zeros?

18. Divide by . What is the quotient?

19. Simplify . What is the real par of the answer?

20. Find the slant asymptote of the rational function .

21. Find the exact value of .

22. Solve for x in the equation .

Answer: 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).

24. How many years will it take an investment to double if it is invested at 5% compounded quarterly?

a)
13.86

25. Find the point of intersection of the graphs of and .