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Worksheets

Relations and Functions

Total questions: 50

Worksheet time: 2hrs 46mins

Name
Class
Date
1.
What is the Domain?
a)
{-3, -1, 1, 3, 5, 7, 9}
b)
{-3, -2, -1, 0, 1, 2, 3}
c)
-3 ≤ x ≤ 3
d)
-3 ≤ x ≤ 9
2.
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}
3.
What is the Domain?
a)
-3 ≤ x < 5
b)
-3 ≤ y < 5
c)
-8 ≤ x < 5
d)
-8 ≤ y < 5
4.
Find the Domain.
a)
All real numbers
b)
x > 3
c)
x > 0
d)
x ≥ 0
5.
What is the Domain?
a)
-10 ≤ y ≤ 6
b)
y ≤ 6
c)
-10 ≤ x ≤ 6
d)
All Real Numbers
6.
What is the Range?
a)
y ≥ 6
b)
y ≤ 6
c)
-10 ≤ y ≤ 6
d)
-10 ≤ x ≤ 6
7.
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}
8.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

9.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

10.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

11.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

12.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

13.
Where is T?
a)
(-3, -2)
b)
(-2,-3)
c)
(3,2)
d)
(-3,2)
14.
Which letter matches the coordinate (4, -6)?
a)
G
b)
Z
c)
K
d)
None of the above
15.

Let 𝑝(𝑥)=−3𝑥2−4𝑥+7𝑝(𝑥)=−3𝑥^2−4𝑥+7  . Which of the following statements is true?

a)

𝑝(−1)=0

b)

𝑝(−1)=8

c)

𝑝(−1)=6

d)

𝑝(−1)=−1

16.

Which choice also represents the relation shown in the sets below as correct ordered pairs?

a)

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

b)

{(2,1),(4,2),(6,2)}

c)

{(1,2),(2,4),(2,6)}

d)

{(2,2),(2,4),(2,6)}

17.

Is the relation above a function?

a)

Yes, because it doesn’t show any repeating 𝑥 values in the domain.

b)

Yes, because every 𝑦 value in the range is different.

c)

No, because one 𝑥 value in the domain goes to multiple different 𝑦 values in the range.

d)

No, because there is an 𝑥 value in the domain that is equal to a 𝑦 value in the range.

18.

If 𝑓(𝑥)=2𝑥+4, which of the following domain values would cause 𝑓(𝑥)=10?

a)

x = 10

b)

x = 3

c)

x = 6

d)

x =5

19.

Let 𝑓(𝑥)=𝑥−7. Find the value of 𝑓(2).

a)

5

b)

-7

c)

7

d)

-5

20.

Let f(x) = 3x−5f\left(x\right)\ =\ 3x-5  . Find f(-3)

(a)  

21.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
22.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
23.
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)
24.
a)
Function
b)
Not a Function
25.
a)
Function
b)
Not a Function
26.
a)
Function
b)
Not a Function
27.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

28.

A horizontal line on a graph is a function. True or False.

a)

True

b)

False

29.

For the order pairs: ( 3, 8), ( 5, 4), (1, 9) , and (2, 7). List the domain.

a)

D: {4, 7, 8, 9}

b)

D: {1,2,3,5}

30.

What is the range of this function? (3,5) (-3,4), (1, 9), and (4,7)

a)

R: {-3, 1, 3. 4}

b)

R: {4, 5, 7, 9}

c)

R: {1,2,3,9}

31.

This is a function. True or False.

Hint: Use the vertical line test.

a)

True

b)

False

32.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
33.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
34.

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 
35.

Does the given table represent a function?

a)
Function
b)
Not a Function
36.

Which graph shows a relation that is a function?

a)
b)
c)
d)
37.

Which graph shows a relation that is not a function?

a)
b)
c)
d)
38.

Which table shows a relation that is a function?

a)
b)
c)
d)
39.

Is the following a function?

a)

Yes, this is a function.

b)

No, it's not a function.

c)

Can't be determined with this information.

40.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

41.
Evaluate f(-2) if f(x) = x + 3
a)
-1
b)
1
c)
5
d)
-5
42.
For the function f(x) = -3(x-1) find f(0).
a)
0
b)
-3
c)
3
d)
-1
43.
Given f(x) = -4x - 10 and f(x) = 10. Find x
a)
x = -5
b)
x = 5
c)
x = -50
d)
x = 30
44.
Is this is a function or not a function?
a)
Function
b)
Not a Function
45.
If f(x) = -4x - 5 and
g(x) = 3 - x,
what is g(-4) + f(1)?
a)
7
b)
-2
c)
-9
d)
-10
46.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
47.

Given f(x) = 5x + 3, what is the value of f(2)?

(a)  

48.

Find the value of h(5) if h(t) = 2t2+t2t^2+t .

(a)  

49.

Given h(t) = −t2+7t-t^2+7t  , what is h(4)?

(a)  

50.

Given C(n) = 12n−5\frac{1}{2}n-5 , what is the value of C(20)?

(a)  

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