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Function?

Total questions: 73

Worksheet time: 49mins

Name
Class
Date
1.

Is this relation a function?

a)
Function
b)
Not a Function 
2.

Is this relation a function? 
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

a)
Yes
b)
No
3.

Is the data in this table a function or not a function? 

a)
Function
b)
Not a Function
4.

Does the graph represent a function? Explain.

a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
5.
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.
6.

Does the data in the table represent a function?

a)

Function

b)

Not a Function

7.
Which graph does NOT pass the vertical line test?
a)

b)

c)

d)

8.

Does the data in the mapping represent a function?

a)

Yes; Each input is mapped to exactly one output.

b)

No; Two inputs are mapped to the same output.

c)

Cannot determine

9.

Does the data represent a function?

a)

Yes; Each input is mapped to exactly one output.

b)

No; 2 is mapped to both

20 and 40.

c)

No; 2 and 4 are both

mapped to 40.

10.

Which set of relations does NOT represent a function?

a)

(9,5) (10,5) (4,-5) (8,-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)

11.

Which statement about the set of points is true?

{(−2, 3), (5, −8), (3, 1), (2, 3), (5, −8)}\left\{\left(-2,\ 3\right),\ \left(5,\ -8\right),\ \left(3,\ 1\right),\ \left(2,\ 3\right),\ \left(5,\ -8\right)\right\}

a)

The set of points represents a function.

b)

The set of points does not represent a function because there is an input of 5 two times.

c)

The set of points does not represent a function because two numbers have an output of 3.

12.
Choose the best answer that describes the image.
a)
Function
b)
Relation
c)
Function and Relation
d)
Neither a relation nor a function
13.
Choose the best answer that describes the image.
a)
Function
b)
Relation
c)
Function and Relation
d)
Neither a relation nor a function
14.
Choose the best answer that describes the image.
a)
Function
b)
Relation
c)
Function and Relation
d)
Neither a relation nor a function
15.
A relation is a function when.......
a)
the input is only with one output.
b)
the input is repeating with different output.
c)
the output is repeating.
d)
the input is repeating.
16.
Which of these tables represent a function?
a)
A
b)
B
c)
C
d)
D
17.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
18.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
19.
a)
Function
b)
Not a Function
20.
a)
Function
b)
Not a Function
21.
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: {-4, 0, 1, 2}
R:{-4, -3, 1}
c)
D: {0, 1, 2, 3, 4}
R:{1, -3, -4}
d)
D: {0, 1, 2, -4}
R: {1, -3, -4, 1}
22.
a)
Function
b)
Not a Function
23.
a)
Function
b)
Not a Function
24.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

25.
Is this mapping a function and how can you tell?
a)
Yes its a function cause all the numbers have lines
b)
No it's not a function because there a 5 in both ovals
c)
No it's not a function because the x value 5 has y values of  2 & 9
d)
No it's not a function because the y value 5 has x values of  2 & 9
26.
a)
Function
b)
Not a Function
27.

A relation where every input in matches with exactly one output is called what?

a)

Relation

b)

Linear

c)

Exponential

d)

Function

28.

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

29.
All of the x values or inputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
30.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
31.
Does the graph represent a function?
a)

Yes, because the vertical line test shows there are no repeating input values.

b)

No, because the vertical line test shows there are repeating input values and different outputs.

32.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
33.
Is this a function? Explain.
a)
Yes; it passes the horizontal line test.
b)
No; it is not a straight line.
c)
Yes; it passes the vertical line test.
d)
No; there is a line connecting the dots.
34.
Is this graph a function and how can you tell?
a)
Yes its a function cause it doesn't cross itself
b)
No it's not a function because it goes through the origin
c)
No it's not a function because the x value 4 has y values of  -2 & 2
d)
No it's not a function because the y value 4 has x values of  -2 & 2
35.
Which of the following guarantees a table will not be a function?
a)
A x value repeats
b)
An y value repeats
c)
An x value repeats and has different y values
d)
A y value repeats and has different x values
36.
How do you administer a vertical line test.
a)
You don't only doctor's are allowed to do those
b)
Draw lines straight across your graph and see if any hit the graph more than once
c)
Draw lines straight down your graph and see if any hit the graph more than once
d)
Check to see if the graph is a vertical line( straight up)
37.

Look at the graph. Is the relation a function?

a)

yes

b)

no

38.

Look at this graph. Is the relation a function?

a)

yes

b)

no

39.
a)

FUNCTION

b)

NOT FUNCTION

40.
a)

FUNCTION

b)

NOT FUNCTION

41.
a)

FUNCTION

b)

NOT FUNCTION

42.
a)

FUNCTION

b)

NOT FUNCTION

43.
a)

It is a function because no vertical lines hit it twice.

b)

It's not a function because a vertical line hits it twice.

c)

It's not a function because no vertical lines hit it twice.

d)

It is a function because a vertical line hits it twice.

44.
a)
It is a function because no vertical lines hit it twice.
b)

It's not a function because a vertical line hits it more than once.

c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
45.
a)
It is a function because no vertical lines hit it twice.
b)
It's not a function because a vertical line hits it twice.
c)
It's not a function because no vertical lines hit it twice.
d)
It is a function because a vertical line hits it twice.
46.
a)
Function
b)
Not a Function
47.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

48.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

49.

What is the range of the mapping?

a)

{1, 2, 4}

b)

{0, 1, 2, 3}

c)

{0, 3}

d)

{1, 4}

50.

Which relation does the mapping show?

a)

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

b)

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

c)

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

d)

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

51.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

52.

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) }

53.
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}
54.

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)

55.
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}
56.

What is the greatest value (largest number) in the range for the function y = -2x+4 when the domain is {-5, -1, 5, 1}?

To do this, plug -5 into the equation and find the y-value that goes with that input. Plug -1 into the equation and fund the y-value that goes with it. Plug 5 into the equation and find the y-value that goes with that input. Plug 1 into the equation and find the y-value that goes with that input.

Which of the values that you found is the largest?

a)

2

b)

18

c)

14

d)

6

57.

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)

58.

Which of these sets is the RANGE of the graph?

a)

{0, 6, 12, 18}

b)

{-2, 0, 2, 4}

c)

{-2, 2, 4}

d)

{6, 12, 18}

59.

Which number is not an element of the domain?

In other words, if you listed the coordinates of each point graphed, what number would NOT be an x-value?

a)

2

b)

1

c)

0

d)

6

60.

What is the domain when the range is 3?

In other words, what is the x-value when the y-value is 3?

(a)  

61.

What is the domain of this graph?

In other words, if you made a list of all the points on this segment and looked at all of the x-values, they would range from what number to what number?

a)

{-2 ≤ x ≤ 4}

b)

{-5 ≤ x ≤ 4}

c)

{-4, 0, -2}

d)

{-4 ≤ x ≤ 2}

62.
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}
63.

Which statement is true about the relationship described below?


"A painter must measure a room before deciding how much paint to buy."


a)

The amount of paint is a function of the measure of a room.

b)

The measure of a room is a function of the amount of paint.

64.

Which statement is true about the relationship described below?

"A veterinarian must weigh an animal before determining the amount of medication."


a)

The weight of an animal is a function of the amount of medication.

b)

The amount of medication is a function of the weight of an animal.

65.

Identify the independent variable, dependent variable, and equation in for the situation.


"A math tutor makes $35 per hour."

a)

Independent: Hours Worked

Dependent: Money Made

Function: y=35x

b)

Independent: Hours Worked

Dependent: Money Made

Function: y=x+35

c)

Independent: Money Made

Dependent: Hours Worked

Function: y=x+35

d)

Independent: Money Made

Dependent: Hours Worked

Function: y=35x

66.

Identify the independent variable, dependent variable, and equation for the situation.


"An amusement park charges a $6.00 parking fee plus $29.99 per person. "

a)

Independent: Total Cost

Dependent: Number of Park Attendees

Function:

y = 6+29.99a

b)

Independent: Total Cost

Dependent: Number of Park Attendees

Function:

y = 6a + 29.99a

c)

Independent: Number of Park Attendees

Dependent: Total Cost

Function:

y = 6+29.99a

d)

Independent: Total Cost

Dependent: Number of Park Attendees

Function:

y = 6a+29.99

67.

What is the independent variable in the statement?

The number of pages read, p, and the time spent reading, t

a)

Independent variable: p

b)

Independent variable: t

68.

What is the independent variable in the statement?

The profit, p, and the number of candy bars sold, c

a)

Independent variable: p

b)

Independent variable: c

69.

What is the independent variable in the statement?

Dollars earned, d, and number of hours spent babysitting, h

a)

Independent variable: d

b)

Independent variable: h

70.

Which does NOT pass the Vertical Line Test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

71.

Which of these graphs IS a function?

a)

A

b)

B

c)

C

d)

D

72.

Which graph IS a function?

a)

A

b)

B

c)

C

d)

D

73.

Which graph is NOT a function?

a)

A

b)

B

c)

C

d)

D

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