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Putting the FUN in functions!!!

Total questions: 84

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

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.

Is this relation a function?

a)

Function

b)

Not a function

4.

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


Is this relation a function?

a)

Function

b)

Not a function

5.

Is this relation a function?

a)

Function

b)

Not a function

6.

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


Is this relation a function?

a)

Function

b)

Not a function

7.

Is this relation a function?

a)

Function

b)

Not a function

8.

Is this relation a function?

a)

Function

b)

Not a function

9.

Is this relation a function?

a)

Function

b)

Not a function

10.

Is this relation a function?

a)

Function

b)

Not a function

11.

Is this relation a function?

a)

Function

b)

Not a function

12.

Is this relation a function?

a)

Function

b)

Not a function

13.

Is this relation a function?

a)

Function

b)

Not a function

14.

Is this relation a function?

a)

Function

b)

Not a function

15.

Is this relation a function?

a)

Function

b)

Not a function

16.

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


Is this relation a function?

a)

Function

b)

Not a function

17.
a)

A

b)

B

c)

C

d)

D

18.
a)

-3

b)

2

c)

-1

d)

0

e)

1

19.

IS THIS A FUNCTION?

a)

YES

b)

NO

20.

DOES THE GRAPH REPRESENT A FUNCTION?

a)

YES

b)

NO

21.

DOES THIS GRAPH REPRESENT A FUNCTION?

a)

NO

b)

YES

22.

DOES THIS GRAPH REPRESENT A FUNCTION?

a)

YES

b)

NO

23.

IS THE FOLLOWING A FUNCTION?

a)

YES

b)

NO

24.

IS THE FOLLOWING A FUNCTION?

a)

YES

b)

NO

25.
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.
26.
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
a)
Yes
b)
No
27.
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
28.
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)
29.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
30.
a)
Function
b)
Not a Function
31.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
32.

a)

Function

b)

Not a function

33.

a)

Function

b)

Not a function

34.

a)

Function

b)

Not a function

35.

a)

Function

b)

Not a function

36.

a)

Function

b)

Not a function

37.

a)

Function

b)

Not a function

38.

a)

Function

b)

Not a function

39.

a)

Function

b)

Not a function

40.

a)

Function

b)

Not a function

41.

a)

Function

b)

Not a function

42.

a)

Function

b)

Not a function

43.

a)

Function

b)

Not a function

44.

a)

Function

b)

Not a function

45.

a)

Function

b)

Not a function

46.

a)

Function

b)

Not a function

47.

a)

Function

b)

Not a function

48.

a)

Function

b)

Not a function

49.

a)

Function

b)

Not a function

50.

a)

Function

b)

Not a function

51.

a)

Function

b)

Not a function

52.

Ordered pairs DO NOT show a function if the input values (a)   .

53.

A table of values DOES NOT represent a function if the x-values (a)   .

54.

A function is a rule that assigns exactly (a)   input to every output.

55.

Which of the following is NOT a function:

a)
b)
c)
d)
56.

Which of the following is a function:

a)
b)
c)
d)
57.

Which of the following is a function:

a)
b)
c)
d)
58.

Choose the TWO tables that represent functions:

a)

b)

c)

59.

Pick the FOUR choices that are ways to represent functions:

a)

Mapping

b)

Ordered Pairs

c)

Tables

d)

Ratios

e)

Graphs

60.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
61.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
62.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
63.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
64.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
65.
Is this set of ordered pairs a function and how can you tell?
a)
Yes its a function because no y values repeat
b)
No it's not a function because there are negative numbers
c)
No it isn't a function because an x value repeats but has different y values 
d)
No it isn't a function because an y value repeats but has different x values
66.

Does this mapping diagram represent a function?

a)

No, because an input value goes to multiple output values

b)

Yes, because each input goes to one and only one output

67.

A relation contains the points (1, 2), (2, -1), (3, 0), (4, 1), and (5, -1). Which statement accurately describes this relation?

a)

The relation does not represent y as a function of x, because each value of x is associated with a single value of y.

b)

The relation represents y as a function of x, because one value of y is associated with two values of x.

c)

The relation does not represent y as a function of x, because each value of y is associated with two values of x.

d)

The relation represents y as a function of x, because each value of x is associated with a single value of y.

68.

Which representation shows y as a function of x?

a)

b)

c)

d)

69.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
70.
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)
71.

Is the mapping a function or not?

(Write out the ordered pairs!)

a)
Function
b)
Not a Function
72.
Determine if the relation is a function or not.
a)
Function
b)
Not a Function
73.
Is this relation a function?
a)
Yes
b)
No
74.
Determine if the relation is a function or not.
a)
Function
b)
Not a Function
75.
Which ordered pair below would prevent this table from being a function?
a)
(10, 10)
b)
(2, 4)
c)
(6, 1)
d)
(-2, 0)
76.
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.
77.
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
78.
Does this mapping diagram represent a function?
a)
No, because there are repeating input values
b)
Yes, because there are no repeating input values
79.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
80.

Determine whether the relation given by the set of ordered pairs {(1, 2), (3, 4), (5, 6), (7, 8)} is a function or not. If it is a function, explain why. If it is not a function, explain why not.

a)

The relation is a function.

b)

The relation is a linear equation

c)

The relation is a quadratic equation

d)

The relation is a rational function

81.

Given the relation represented by the set of ordered pairs {(2, 3), (2, 4), (5, 6), (7, 8)}, determine whether it is a function or not. If it is a function, explain why. If it is not a function, explain why not.

a)

Yes, it is a function because all x-values have unique y-values

b)

Not a function

c)

No, it is not a function because it does not pass the vertical line test

d)

Yes, it is a function because it has more than 3 ordered pairs

82.

Is the relation given by the set of ordered pairs {(1, 2), (2, 4), (3, 6), (4, 8), (1, 3)} a function? Explain your answer.

a)

Yes, because it has a total of 5 ordered pairs

b)

Yes, because it has the pair (1, 3)

c)

Yes, because it has multiple outputs for the same input

d)

No

83.

Given the relation as a set of ordered pairs {(1, 2), (2, 4), (3, 6), (4, 8), (5, 10)}, identify whether it is a function or not. Explain your reasoning.

a)

No, because the y-values are not unique

b)

Yes

c)

No, because the x-values are not unique

d)

No, because the relation is not continuous

84.

Is the relation given by the set of ordered pairs {(1, 2), (2, 4), (3, 6), (4, 8), (5, 10), (6, 12)} a function? Justify your answer.

a)

No, because the relation does not have a constant rate of change

b)

No, because the relation is not continuous

c)

No, because the relation is not a set of ordered pairs

d)

Yes

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