Name:    AII.7f - End Behaviors of Functions

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

1

Which of the following described the end behavior of as x approaches negative infinity?
 a. y approaches negative infinity c. y approaches -1 b. y approaches -6 d. y approaches 0

2

Which of the following describes the end behavior of as x approaches 0?
 a. f(x) approaches -¥ c. f(x) approaches 5 b. f(x) approaches 0 d. f(x) approaches¥

3

Describe the end behavior of .
 a. As x approaches infinity, f(x) approaches negative infinity.As x approaches negative infinity, f(x) approaches infinity. b. As x approaches infinity, f(x) approaches infinity.As x approaches negative infinity, f(x) approaches negative infinity. c. As x approaches infinity, f(x) approaches negative infinity.As x approaches negative infinity, f(x) approaches negative infinity. d. As x approaches infinity, f(x) approaches infinity.As x approaches negative infinity, f(x) approaches infinity.

4

Which of the following describes the end behavior of as x approaches positive infinity?
 a. y approaches c. y approaches b. y approaches d. y approaches positive infinity

Multiple Response
Identify one or more choices that best complete the statement or answer the question.

5

Select two true statements about the graphs of
 a. As x approaches positive infinity, f(x) approaches positive infinity. b. As x approaches negative infinity, f(x) approaches negative infinity. c. As x approaches negative infinity, f(x) approaches positive infinity. d. As x approaches positive infinity, f(x) approaches negative infinity.

6

Given the function , what is the end behavior of f(x) as x approaches positive infinity?

7

Given the function , what is the end behavior of f(x) as x approaches negative infinity?

8

Given the function , what is the end behavior of f(x) as x approaches positive infinity?