## Precalculus Practice Exam

Part 3 Test 6 Time: 1 hour

1. Sketch the function . Specify the domain, range, intercept(s), and asymptote(s).

Answer: The domain is the set of all real numbers; the range consists of all numbers y>-3. The graph has its y-intercept at y=-2 and one x-intercept at . The only asymptote is the horizontal asymptote y=-3.

2. Which is larger, or

Answer: The is larger than .

3. Solve for x:

4. Supppose that \$9,500 is invested at 6% interest compounded annually. How long will it take for the amount in the account to reach \$12,000?

Answer: It will take approximately 4 years.

5. Let . Find . State the range and domain of and g(x). Sketch both functions on the same coordinate axis.

Answer: . The domain of g(x) are all real numbers x>1. The range of g(x) consists of all real numbers. The domain of is the set of all real numbers. The range of are all real numbers x>1.

• For which values of x is

• For which values of x is

7. Graph the following system of inequalities:

8. Find all the solutions of the system:

Sketch the graph of both equations.

9. Determine the constants P and Q, given that the parabola

passes through the two points (-2,-1) and (-1,-2).

10. Solve the following inequality for x:

Answer: -9<x<-1, or in interval notation (-9,-1).

If you would like to practice on exams for Parts 1, 2 or 4, click on Menu . It will take you back to the original menu.

Wed Jul 2 17:21:04 MDT 1997