Name:    Chapter 11 Pre Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Match with its graph.
 a. d. b. e. c.

2.

Identify the horizontal asymptote of .
 a. b. x-axis c. d. e.

3.

After t years, the remaining mass y (in grams) of  24 grams of a radioactive elements whose half-life is 30 years is given by

.

How much of the initial mass remains after 50 years? Round your answers to two decimal places.
 a. 7.56 grams b. 14.40 grams c. 3.17 grams d. 16.44 grams e. nothing remains

4.

Find where and .
 a. b. c. d. e.

5.

Find where and .
 a. 73 b. 115 c. 223 d. 61 e. –9

6.

Find where and .
 a. b. c. d. e.

7.

Find where and .
 a. –64 b. –26 c. –5 d. –192 e. 1

8.

Find the inverse function of .
 a. b. c. d. e.

9.

Write the exponential equation in logarithmic form.
 a. b. c. d. e.

10.

Evaluate the logarithm.

 a. b. c. 0 d. e. is undefined.

11.

Match with its graph.
 a. d. b. e. c.

12.

Identify the vertical asymptote of .
 a. b. c. d. e. y-axis

13.

Graph the function .
 a. d. b. e. c.

14.

Use , , and the properties of logarithms to approximate to four decimal places. Do not use a calculator.
 a. b. c. d. e.

15.

Use the properties of logarithms to expand .
 a. b. c. d. e.

16.

Use the properties of logarithms to condense .
 a. b. c. d. e.

17.

Solve the equation. Do not use a calculator.

 a. b. c. d. e.

18.

Solve the equation. Do not use a calculator.

 a. b. c. d. e.

19.