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Domain, Range, Function or Not 12/01/23

Total questions: 52

Worksheet time: 1hrs 6mins

Name
Class
Date
1.

Determine the domain.

a)

-3 < x < 2

b)

-1 < x < 4

c)

−1≤y≤4-1\le y\le4  

d)

-3 < x < 2

2.

Determine the range.

a)

-3 < y < 2

b)

-1 < y < 4

3.

Determine the domain.

a)

-4 < x < 2

b)

-3 < x < 3

4.

Determine the domain.

a)

−1 ≤ x ≤ 6

b)

−1 ≤ y ≤ 6

c)

−2 ≤ x ≤ 5

d)

−2 ≤ y ≤ 5

5.

Determine the range.

a)

−1 ≤ x ≤ 6

b)

−1 ≤ y ≤ 6

c)

−2 ≤ x ≤ 5

d)

−2 ≤ y ≤ 5

6.

Determine the range.

a)

0 ≤ y ≤ 24

b)

0 ≤ x ≤ 24

c)

30 ≤ y ≤ 80

d)

30 ≤ x ≤ 80

7.
Which choice describes the ranges of this graph. 
a)

y > 0

b)

x > 0

c)

All real numbers

8.
What is the Range of this linear function?
a)
-6 ≤ y ≤ 6
b)
0 ≤ y ≤ 6
c)
No Solution
d)
4 ≤ y ≤ 3
9.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
10.

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)

11.
Is this graph Discrete or Continuous?
a)
Discrete
b)
Continuous
12.
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}
13.
What is the domain?
a)
-3 < y ≤ 3
b)
-4 ≤ y ≤ 5
c)
-4 ≤ x ≤ 5
d)
-3 < x ≤ 3
14.

What is the range of the graph?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

15.
Identify the domain and range of the function.
a)
Domain: -6 ≤ x ≤ 2
Range: -3 ≤ y ≤ 5
b)
Domain: All real number
Range: -3 ≤ y ≤ 5
c)
Domain: All real numbers
Range: y ≥ -3
d)
Domain: All real number
Range: y ≤ -3
16.

The domain of a function refers to which variable:

a)

X

b)

Y

c)

Both X and Y

d)

None of the above

17.

The range of a function refers to which variable:

a)

X

b)

Y

c)

Both X and Y

d)

None of the above

18.

Which of the following graphs have the given domain and range?

a)
b)
c)
19.

Which of the following graphs have the given domain and range?

a)
b)
c)
20.

What is the range of the graph? (a)  

Choose from the below words
1 ≤ x ≤ 5
1 < x < 5
1 ≤ y ≤ 5
1 < y < 5
21.

What is the range of the graph? (a)  

Choose from the below words
-7 ≤ x < 5
-3 ≤ x < 1
-3 ≤ y < 1
-7 ≤ y < 5
22.

What is the domain of a relation? (a)  

Choose from the below words
the set of all x-values
the set of all y-values
23.

What is the Domain? (a)  

Choose from the below words
All real numbers
x > 3
x = 4
x ≥ 3
24.

What is the DOMAIN of this graph? (a)  

Choose from the below words
-4 ≤ x ≤ 3
-1 ≤ x ≤ 4
4 < x < 3
-1 < x < 4
25.

What is the range of the graph? (a)  

Choose from the below words
-2 < y < 10
-3 < x < 3
-2 ≤ y ≤ 10
-3≤ x ≤ 3
26.

Find the DOMAIN

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

27.

Find the RANGE

a)

{-5, -2, 1, 4}

b)

{1, -2, 4, -5}

c)

{-1, 0, 2, 3}

d)

{0, -1, 2, 3}

28.
All of the y values or outputs are called what?
a)
Domain
b)
Range
29.

A set of ordered pairs is called what?

a)

the domain

b)

a relation

c)

a function

d)

the range

30.

g(x), h(x), and f(x) all mean

a)

x

b)

y

31.
Express the following in Interval Notation
-8 ≤ x < 8
a)
[-8, 8]
b)
[-8,8)
c)
(-8, 8]
d)
(-8, 8)
32.
Express the following in Interval Notation
-9 < x ≤ -4
a)
[-9, -4]
b)
(-9,-4]
c)
[-9, -4]
d)
(-9,-4)
33.

What is the RANGE?

a)

x>-3

b)

f(x)>3

c)

y≥−3y\ge-3

d)

y>-3

34.
True or False:
4 is a domain value in the function graphed.
a)
True
b)
False
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.
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.
42.
Does the mapping of these points represent a function?
a)
Function
b)
Not a Function
43.

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.

44.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function 
45.

Is this a function?

a)

Yes

b)

No

c)

Let me ask my dog...

d)

Why are there letters in math?

46.

What is the most accurate 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

47.

Is this table of values a function or not a function?

a)

Function

b)

Not a Function

48.

Is this table of values a function or not a function?

a)

Function

b)

Not a Function

49.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

50.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

51.
a)
Function
b)
Not a Function
52.
a)
Function
b)
Not a Function

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