## Precalculus Practice Exam

Part 4 Test 2 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 172.3346 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 at the base of a building, looks up, with an angle of elevation of 42 degrees, to the top of the building across the street that is 2,000 feet high. 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 \$40,000 is invested for 10 years at 14% per year compounded weekly. 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 rational zeros of .

10. Solve the following system of equations for , and z: