Young Chapter 3 Functions And Their Graphs Test Bank

College Algebra, 5e (Young)

Chapter 3 Functions and Their Graphs

3.1 Functions

1) Classify the following relationship as a function or not a function.

{(-17, 20), (17, 20), (-12, 20), (1, 20)}

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

2) Classify the following relationship as a function or not a function.

{(9, -18), (9, -2), (9, 15), (9, -3)}

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

3) Classify the following relationship as a function or not a function.

{(15, 10), (-10, -20), (-20, -16), (-14, 1), (-12, -14)}

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

4) Classify the following relationship as a function or not a function.

{(4, 10), (18, -2), (12, 2), (4, 16)}

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

5) Determine if the equation x = is a function.

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether an equation represents a function.

6) Determine if the equation 8 + 4 = 4 is a function.

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether an equation represents a function.

7) Determine if the equation x = is a function with independent variable x and dependent variable y.

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether an equation represents a function.

8) Given the function f (x) = 5x - 4, evaluate f (x + 10).

A) 5x + 46

B) 5x - 46

C) 5 + 46

D) 5x + 6

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.; Use function notation.

9) Given the function f (x) = - 3x + 2, evaluate f (x) - f (6).

A) - 3x + 18

B) - 3x - 20

C) - 3x - 18

D) x - 6

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.; Use function notation.

10) Given the function H(x) = 1 - , evaluate H(x - 5).

A) -4 -

B) -4 + 10x -

C) -24 + 7x -

D) -4 - x

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.; Use function notation.

11) Given the function G(x) = 6 - 4x, evaluate G(4x + 2).

A) -16 + 16x + 12

B) -16 + 2

C) -16x - 14

D) -16x - 2

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.; Use function notation.

12) Given the function G(x) = -7 - 6x, evaluate G(4).

A) 17

B) 31

C) -31

D) 4x - 7

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

13) Given the function f (x) = - 5x - 15, evaluate .

A) 2x + h - 5

B)

C) 2x + h + 5

D) 1

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

14) Given the function f (x) = -7 - 5x, evaluate .

A) 5

B) -5

C)

D) 1

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

15) Given the function G(t) = - 7t + 3, evaluate .

A) h + 17

B) h - 17

C) h

D) h - 12

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

16) Given the function G(t) = , state the domain in interval notation.

A) [10, ∞)

B) (-∞, 10) ∪ (10, ∞)

C) (-∞, ∞)

D) (-∞, -10) ∪ (10, ∞)

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine the domain and range of a function.

17) Given the function f (x) = , state the domain in interval notation.

A) (-∞, -8] ∪ [8, ∞)

B) (-∞, -8) ∪ (8, ∞)

C) [-8, 8]

D) (-∞, -64] ∪ [64, ∞)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine the domain and range of a function.

18) Given the function h(t) = , state the domain in interval notation.

A) (-∞, 8]

B) (8, ∞)

C) (-∞, ∞)

D) (-∞, 8)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine the domain and range of a function.

19) Determine if the equation 11x2 + 18 = 10 is a function of x.

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether an equation represents a function.

20) Given the function G(t) = , state the domain in interval notation.

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine the domain and range of a function.

21) A projectile is fired straight up from an initial height of 230 feet, and its height is a function of time, h(t) = -16 + 128t + 230 where h is the height in feet and t is the time in second with t = 0 corresponding to the instant it launches. What is the height 4 seconds after launch?

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

22) Use the given graph to evaluate the functions.

y = r(x)

a. r(-4) b. r(-3)

Diff: 2 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

23) Let f (x) = 2x - 21 and find the values of x that corresponds to f (x) = 0.

A) {3/4, -7/2, 11/4}

B) {-3/4, 7/2, 11/4}

C) {-3/4, 7/2}

D) {21/2, 11/4}

Diff: 3 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Find the value of a function.

24) Use the vertical line test to determine if the graph below defines a function.

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

25) Use the vertical line test to determine if the graph below defines a function.

A) is a function

B) is not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

26) Classify the following relationship as a function or not a function.

A) a function

B) not a function

C) don't know

Diff: 1 Var: 1

Chapter/Section: Ch 03, Sec 01

Learning Objective: Determine whether a relation is a function.

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