Free Printable Relations and Functions-Unit Test Review

1.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

2.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

3.

a)

Function

b)

Not a Function

4.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

5.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}

6.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

7.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

8.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

9.

Which relation is NOT a function?

a)

{(1,-5), (3,1), (-5,4), (4,-2)}

b)

{(2,7), (3,7), (4,7), (5,8)}

c)

{(1,-5), (-1,6), (1,5), (6,-3)}

d)

{(3,-2), (5,-6), (7,7), (8,8)}

10.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

11.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

12.

What is the range of the table?

a)

{-4, 0, 1, 3}

b)

{-2, 0, 2, 3}

c)

{-4, -2, 0, 1, 2, 3}

d)

{ (0, 0), (2, -4), (3, 3), (-2, 1) }

13.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

14.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

15.

What is the domain?

a)

{-2, -1, 0, 1, 8}

b)

{3, 5, 7 , 9, 0}

c)

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

d)

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

16.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

17.

What is the range?

a)

{-2, -1, 0, 3}

b)

{3, 0, -1, 0, -2}

c)

{-4, -2, 1, 2, 5}

d)

{-4, -2, -1, 0, 1, 2, 3, 5}

18.

Which relation has a domain of {3,7} and a range of {0,5} ?

a)

(3,5), (3,7), (0,5), (0,3)

b)

(3,0), (7,0), (3,5), (7,5)

c)

(3,0), (3,5), (3,7), (7,5)

d)

(7,0), (5,7), (3,5) (7,5)

19.

What is the domain of the ordered pairs graphed above?

a)

{1, 2, 3 ,4 ,5 ,6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

20.

What is the range of the ordered pairs graphed above?

a)

{1, 2, 3 ,4 ,5 ,6}

b)

{0, 1, 2, 3, 4, 5, 6}

c)

{2, 4, 8}

d)

{-1, 0, 1, 2, 3, 6}

21.

What is the domain of the graph?

a)

[-7 , 5)

b)

[-3 , 1)

c)

[-3 , 1)

d)

(-7 , 5)

22.

What is the domain of the graph?

a)

D $=\left(-\infty,\ \infty\right)$

R

=\ \left(1,\ \infty\right)

b)

D $=\left[1,\ \infty\right)$

R

=\left(-\infty,\ \infty\right)

c)

D $=\left(-\infty,\infty\right)$
R $=\ \left[1,\ \infty\right)$

d)

D $=\left[1,\ \infty\right)$

R

=\left(1,\ \infty\right)

23.

What is the domain of the function?

a)

(3, ∞)

b)

[-3, ∞)

c)

(-∞, 4]

d)

(-∞, 4)

24.

What is the domain?

a)

(-3 , 3)

b)

[-4, 5]

c)

(-4, 5)

d)

(-3, 3]

25.

What is the range?

a)

(-3, 3)

b)

[-4, 5)

c)

[-4 , 5]

d)

(-3 , 3]

26.

What is the domain of the graph?

a)

[ -∞, ∞]

b)

(-∞,∞)

c)

[-3 , 3]

d)

[-15, 9]

27.

What is the range of the graph?

a)

[-15, 9]

b)

(-∞, ∞)

c)

(-15, ∞)

d)

[-15, ∞)

28.

What is the range of the graph?

a)

(-∞,∞)

b)

[0,∞)

c)

(0,5)

d)

[-1,∞)

29.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

30.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

31.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

32.

Given {x| x ≥ 6}, the domain of a function in set builder notation, which of the following rewrites it in interval notation?

a)

$\left(6,\ \infty\right)$

b)

$\left[6,\infty\right)$

c)

$\left(-\infty,6\right)$

d)

$\left(-\infty,6\right]$

33.

What is the domain in Interval notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

(-2 , 2 )

d)

(4 , -4 )

34.

You can identify a function from a graph by using the.....

a)

Horizontal Line Test

b)

Eye Test

c)

Vertical Line Test

d)

Diagonal Line Test

35.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

36.

Which table represents a function?

a)

b)

c)

d)

37.

Which table does not represent a function?

a)

b)

c)

d)

38.

Which mapping diagram is not a function?

a)

b)

c)

d)

39.

For which function would f(3) = 17

a)

f(x) = 5x

b)

f(x) = 2(x + 4) + 3

c)

f(x) = x - 10

d)

f(x) = 3x + 6

40.

Which graph is not a function?

a)

b)

c)

d)

41.

What is a function?

a)

A relation that maps every domain value to exactly one range value.

b)

A relation that maps every range value to exactly one domain value.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

42.

What is the test to determine if a graph represents a function?

a)

Horizontal line test

b)

Vertical line test

c)

Heidelberg Uncertainty Test

d)

Obi Wan Kenobi Test

43.

f(x)=x+3
f(x) = -5

a)

-2

b)

-1

c)

-8

d)

7

44.

Evaluate f(t)=-2t²+ 1 for f(2)

a)

9

b)

17

c)

-17

d)

-7

45.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

46.

Suppose f(x) = x² - 8. Evaluate f(2) - f(3).

a)

-7

b)

5

c)

-1

d)

-5

47.

Given f(x) = -4x - 10 and f(x) = 10. Find x

a)

x = -5

b)

x = 5

c)

x = -50

d)

x = 30

48.

Evaluate the expression

a)

-45

b)

51

c)

27

d)

-21

49.

The equation y=10x represents the amount of allowance, y, in dollars, that Jacob receives for doing x hours of chores. Which statement interprets the slope of this equation?

a)

Jacob does chores for $0 per hour.

b)

Jacob does chores for $10 per hour.

c)

Jacob receives $0 of allowance money before doing any chores.

d)

Jacob receives $10 of allowance money before doing any chores.

50.

What is the RANGE?

a)

(-∞, +∞)

b)

(-2, +∞)

c)

[-2, +∞)

d)

(-∞, 0) U (0, +∞)

51.

What is f(5) for the function f?

f(x) = 2(x - 7)

a)

3

b)

-4

c)

-3

d)

1

52.

Given f(x) = 2x-3, what is the value of f(3)?

a)

7

b)

4

c)

3

d)

1

e)

5

53.

Given f(x) = x² - 1, what is the value of f(10)?

a)

100

b)

101

c)

99

d)

9

54.

Given f(x) = 3(6 -x), what is the value of f(-8)

a)

-42

b)

6

c)

-6

d)

42

55.

A company is selling bubble gum. The function g(x)=3x+4 tells the company how much to charge if someone buys x packages of bubble gum. Find g(8) and tell what it means within the context of the problem.

a)

g(8)=8. This means that after 8 packages of gum, the company makes $8.

b)

g(8)=42. This means that 8 packages of gum costs $42.

c)

g(8)=28. This means that 8 packages of gum costs $28.

d)

g(8)=24. This means that 8 packages of gum costs $24.

56.

Consider the function t(x)=x/8+2x. Find t(16).

a)

34

b)

160

c)

16

d)

56

57.

Name the x- and y-intercepts for the equation:
2x - y = 6

a)

(0, 3) and (-6, 0)

b)

(0, -3) and (-6, 0)

c)

(3, 0) and (0, -6)

d)

(-3, 0) and (0, -6)

58.

What is the slope of a line with the equation 3x - 5y = 7

a)

5/3

b)

-5/3

c)

3/5

d)

-3/5

59.

Write in slope intercept form. 2x + y = 2

a)

y = -2x

b)

y= 2x + 2

c)

y= -2x + 2

d)

x = -2x + 2

60.

What is the x-intercept of
x+4y=7?

a)

(7/4, 0)

b)

(0, 7/4)

c)

(7, 0)

d)

(0,7)

61.

What is the y-intercept of
2x-5y=35?

a)

(0,-7)

b)

(-7,0)

c)

(35/2, 0)

d)

(0,35/2)

62.

Write the equation for the line in slope-intercept form.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= 3x+4

63.

What is the equation of this line?

a)

y = 2x +2

b)

y = -2x + 2

c)

y = -x + 2

d)

y=2x - 1

64.

Write the equation of the line.

a)

y= -1x-3

b)

y= -3x-1

c)

y=-1/3x-1

d)

y= -3x-3

65.

Write the equation of the line.

a)

y= 3/4x-3

b)

y= -4x-3

c)

y= -3/4x-3

d)

y= -4/3x-3

66.

Which graph represents x=2?

a)

A

b)

B

c)

C

d)

D

67.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

68.

Given the equation 2y=12, select ALL the statements that are true.

a)

The slope of the line is 0.

b)

The slope of the line is undefined.

c)

The line is parallel to the x-axis.

d)

The line is parallel to the y-axis.

e)

The line is perpendicular to the x-axis.

69.

Given the equation $y\ =\ -4x+7$ identify the slope and y-intercept.

a)

m = - 4 and b = 7

b)

m = - 7 and b = - 4

c)

m = 7 and b = - 4

d)

m = 4 and b = - 7

70.

Given the function $h\left(x\right)\ =x\ ^3+\ 3x\ -5,\ find\ the\ value\ h\left(\frac{1}{2}\right)$ .

a)

$\frac{27}{8}$

b)

$-\frac{27}{8}$

c)

$-3$

d)

$-\frac{3}{8}$

Relations and Functions-Unit Test Review

Total questions: 70

Worksheet time: 4hrs 45mins

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