Name:    MCR3U - Unit 3 Practice Test

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

1.

A colony of ants has an initial population of 200 and doubles every day. A function that can be used to model the ant population, p, after t days is
 a. c. b. d. 2.

An investment of \$100 is placed into an account that earns interest, compounded annually, at a rate of 5% for 7 years. The amount, A, in the account can be modelled by the function , where t is the time, in years. What is the range of this function?
 a. c. b. d. 3.

The expression is equal to
 a. c. b. 1 d. 0

4.

Simplify .
 a. c. b. 3 d. 5.

Simplify . Express your answer using only positive exponents.
 a. c. b. d. 6.

Simplify . Express your answer using only positive exponents.
 a. c. b. d. 7.

The equation can also be written as
 a. c. b. d. 8.

Evaluate .
 a. 8 c. 40.3 b. 196 608 d. 9.

Which of the following expressions is equivalent to ?
 a. c. b. 3 d. 10.

When simplified and written with positive exponents, the expression simplifies to
 a. c. b. y d. 11.

Which exponential equation matches the graph shown? a. c. b. d. 12.

Which exponential equation matches the graph shown? a. c. b. d. 13.

Which of the following transformations maps the function onto the function ?
 a. a horizontal shift 3 units to the right and a vertical shift 4 units up b. a horizontal shift 3 units to the left and a vertical shift 4 units up c. a horizontal shift 3 units to the right and a vertical shift 4 units down d. a horizontal shift 3 units to the left and a vertical shift 4 units down

14.

Which function results when the graph of the function is translated 2 units to the right and 1 unit up?
 a. c. b. d. 15.

For the exponential function , which properties does the graph of the function have?
 a. domain , range , asymptote at y = –1 c. domain , range , asymptote at y = –1 b. domain , range , asymptote at y = –1 d. domain , range , asymptote at y = 1

16.

Which equation can be used to model the given information?
 Year (x) Population (y) 0 700 1 728 2 757 3 787 4 820 5 854
 a. c. b. d. 