Precalculus Practice Exam

Part 4 Test 1 Time: 2 hours

1. Given the equation, find the following:

• Amplitude,
• Period,
• Horizontal Shift(phase shift),
• Vertical Shift,
• Domain,
• Range,
• and four points that have a y-coordinate of 11.

2. Given that the point is located on the terminal side of the angle t, find a point on the terminal side of the following angles:
• -t

3. Write as an algebraic expression in x.

• Convert 120.3346 radians to degree measure in the format.

• The graph of is bounded by what two lines?
• Why are these two lines considered boundary lines?
• Graph the function and the two boundary lines.

4. A man, standing on the top of a building that is 1,000 feet high, looks down, with an angle of depression of 42 degrees, to the base of the building across the street. How far apart are the buildings?

• Restrict the domain of the function to an interval where the function is increasing, and
• Determine over that interval.
• Then sketch the graphs of both f and on the same coordinate system.
• What relationship do the graphs of these two functions have to the graph of the function g(x)=x?

5. A total of \$10,000 is invested for 10 years at 12% per year compounded quarterly. How much interest will be earned during the 10 years?

6. Solve for x in the inequality

7. Solve for x: . Explain how you checked your answer, step-by-step.

8. Assume that the world population at time t is given by
• How long will it take the world population to double?
• To triple?
• How long will it take for the population to decrease to one-half?

9. Find the real zeros of given that 2i is a zero.

10. Solve the following system of equations for and