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Functions and Relations

Total questions: 56

Worksheet time: 2hrs 57mins

Name
Class
Date
1.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

2.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

3.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

4.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

5.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

6.

1. Let 𝐹 be a set of ordered pairs such that {(−3,5),(3,0),(2,2)}. Which of the following statements about the relation is true?

a)

The relation is a function because no value in the domain goes to multiple values in the range.

b)

The relation is a function because all values in the range are different.

c)

The relation is not a function because one value in the domain goes to multiple values in the range.

d)

The relation is not a function because there is an ordered pair where the domain is equal to the range.

7.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
8.
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
9.
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
10.
Is this a function? 
a)
Yes 
b)
No
11.

What is the domain?

a)

the set of all x-values

b)

the set of all y-values

12.

What is the range?

a)

the set of all x-values

b)

the set of all y-values

13.

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

a)

Relation

b)

Linear

c)

Exponential

d)

Function

14.
a)
Function
b)
Not a Function
15.

The numbers (3, 4) represent a(n) _____.

a)

x-coordinate

b)

x-axis

c)

y-coordinate

d)

y-axis

e)

ordered pair

16.

In the ordered pair (3, 4), 3 represents a(n) _____.

a)

x-coordinate

b)

x-axis

c)

y-coordinate

d)

y-axis

e)

ordered pair

17.

In the ordered pair (3, 4), 4 represents a(n) _____.

a)

x-coordinate

b)

x-axis

c)

y-coordinate

d)

y-axis

e)

ordered pair

18.
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
19.

Is this set of ordered pairs a function or not a function? 

{5,-2), (3,-5), (2,-5), (0,-2), (-1,-3)}

a)
Function
b)
Not a Function 
20.

Does the given table represent a function?

a)
Function
b)
Not a Function
21.

Does the given table represent a function?

a)
Function
b)
Not a Function
22.
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)
23.

Which relation is a function?

a)

(-2,0), (-1,-6), (0,-6), (1,0), (5,0)

b)

(-3,5), (-2,6), (-1,7), (-2,8), (-3,9)

c)

(11,2), (8,4), (5,6), (5,8), (-1,10)

d)

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

24.

Which relation is not a function?

a)

(2,2), (4,4), (6,6), (8,8), (10,10)

b)

(1,5), (3,5), (5,5), (7,5), (9,5)

c)

(-4,1), (-2,3), (0,5), (2,7), (4,9)

d)

(1,8), (2,7), (3,6), (4,5), (4,4)

25.

Which graph shows a relation that is not a function?

a)
b)
c)
d)
26.

Which graph shows a relation that is a function?

a)
b)
c)
d)
27.

Which graph shows a relation that is not a function?

a)
b)
c)
d)
28.
Is relation shown a function?
a)
YES
b)
NO
29.
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; it does not pass the vertical line test
30.
Is the relation a function?
a)
Function
b)
Not a Function
31.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
32.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
33.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function 
34.

Is y a function of x?

a)

function

b)

not a function

35.

Is y a function of x?

a)

function

b)

not a function

36.

Is y a function of x?

a)

function

b)

not a function

37.

Is y a function of x?

a)

function

b)

not a function

38.

Which graph represents a function?

a)
b)
c)
d)
39.

Which image is NOT the graph of a function?

a)
b)
c)
d)
40.

Is y a function of x?

a)

function

b)

not a function

41.

Find the DOMAIN

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

42.

Find the RANGE

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

43.
What is the domain?
a)
{-4, -1, 0, 2, 7}
b)
{-5, -4, -1, 0, 1, 2, 4, 7}
c)
{-5, 0, 1, 2, 4}
d)
{5}
44.
What is the range of the function shown?
a)
{10, 19, 26}
b)
{-3, 0, 4}
c)
{-3, 0, 4, 10, 19, 26}
d)
{0, 16}
45.
What is the domain of the graph?
a)
{-4, 0, 2, 4}
b)
{-5, -4, -3, -1}
c)
{-5, -4, -3, -1, 0, 2, 4}
d)
All real numbers
46.
The elements of f(x) are (-7, 3), (-1, 6) and (8, -3). What is the range of the function?
a)
{-7, -1, -8}
b)
{-3, 6}
c)
{-3, 3, 6}
d)
All real numbers
47.
What is the range of the graph?
a)
(-∞,∞)
b)
[-1,0]
c)
[-1,3]
d)
[3,∞)
48.

What variable typically represents the domain?

a)

x

b)

y

49.

What variable typically represents the range?

a)

x

b)

y

50.

What is the domain?

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}

51.

What is the range?

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}

52.

What is the domain in Interval notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

(-2 , 2 )

d)

(4 , -4 )

53.
Can you use the symbols [ or ]
with infinity?
a)
Yes
b)
No
54.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

55.

What is the range?

a)


(0, ∞)\left(0,\ \infty\right)

b)

[0, ∞)\left[0,\ \infty\right)

c)

(−∞, ∞)\left(-\infty,\ \infty\right)

d)

None of the answer choices

56.

What is the domain?

a)

(−∞, −3]\left(-\infty,\ -3\right]

b)

[3, −∞)\left[3,\ -\infty\right)

c)

(−∞,3]\left(-\infty,3\right]

d)

(−∞,∞)\left(-\infty,\infty\right)

e)

None of the answer choices

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