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Worksheets

Domain and Range

Total questions: 23

Worksheet time: 44mins

Name
Class
Date
1.

What is the RANGE of this graph?

a)

-7<x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

2.

What is the range?

a)

-4 < x ≤ 5

b)

-4 ≤ x < 5

c)

-3 < y < 3

d)

-3 ≤ y ≤ 3

3.

What is the DOMAIN of this graph?

a)

-4 ≤ x ≤ 3

b)

-1 ≤ x ≤ 4

c)

4 < x < 3

d)

-1 < x < 4

4.

What is the DOMAIN of this graph?

a)

x < -3

b)

x ≤ -3

c)

x > -3

d)

x ≥ -3

5.

What is the DOMAIN of this graph?

a)

-7≤x<5

b)

-7≤y<5

c)

-3<x<1

d)

-3≤y<1

6.

Given g(x) = 4x - 7, find g(-9).

a)

g(-9) = 29

b)

g(-9) = -43

c)

g(-9) = 43

d)

g(-9) = -29

7.
Given f(x) = 2x2 + 5x - 17, find f(-1). 
a)
f(-1) = -20
b)
f(-1) = -24
8.
What is x if
f(x) = -2?
a)
4
b)
0
c)
3
d)
8
9.
What is f(1)?
a)
1
b)
5
c)
0
d)
4
10.

Evaluate f(-2) if f(x) = x2+ 3

a)

-1

b)

1

c)

7

d)

-7

11.

What is the range of the graph?

a)

2<f(x)<10-2<f\left(x\right)<10

b)

3<x<3-3<x<3

c)

2f(x)10-2\le f\left(x\right)\le10

d)

3x3-3\le x\le3

12.

Find the Domain.

a)

(-∞, +∞)

b)

(0, 11)

c)

[0, ∞)

d)

(0, ∞)

13.
What is the domain of the graph?
a)
-3 ≤ x ≤ 3
b)
3 ≤ x ≤ -3
c)
-2 ≤ x ≤ 10
d)
-3 ≤ x ≤ 10
14.
What is the range of the graph?
a)
-2 < y < 10
b)
-3 < x < 3
c)
-2 ≤ y ≤ 10
d)
-3≤ x ≤ 3
15.

What is a function?

a)

A relation that maps every domain value to exactly one range value.

b)

A relation that maps every range value to exactly one domain value.

c)

Any set of ordered pairs.

d)

Any graph of x and y values.

16.
What is the domain of the graph?
a)
All real numbers
b)
To Infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
17.
What is the range of the graph?
a)
All real numbers
b)
To infinity and beyond
c)
y ≥ 0
d)
x ≥ 0
18.

Which of the following represents the range of

f(x)= x² - 4x - 5

a)

y ≥ 2

b)

x ≥ 2

c)

y ≥ -9

d)

x ≥ -9

19.

What is the range of this relation?

a)

[1,4]

b)

{1,2,3,4}

c)

{A,B,D}

d)

[A,D]

20.

The domain of a function refers to which variable:

a)

X

b)

Y

c)

Both X and Y

d)

None of the above

21.

The range of a function refers to which variable:

a)

X

b)

Y

c)

Both X and Y

d)

None of the above

22.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

23.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom