Free Printable Domain and Range of Functions with Interval Notation

1.

What interval notation does the number line graph represent?

a)

[∞, -5)

b)

(∞, -5)

c)

[-5, ∞)

2.

Write this in interval notation.

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

3.

Write the following in interval notation.

x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

4.

Write this in interval notation.

$x\le6$

a)

$\left(-\infty,\ 6\right]$

b)

$\left(-\infty,\ 6\right)$

c)

$\left[-\infty,\ 6\right]$

5.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

6.

Can you use the symbols [ or ]
with infinity?

a)

Yes

b)

No

7.

Convert into its interval notation:

$x>-9$

a)

$\left(-9,\ \infty\right)$

b)

$\left[-9,\ \infty\right]$

c)

$\left[-9.\ \infty\right)$

d)

$\left(-9,\ \infty\right]$

8.

Convert into its interval notation:

$0\le x\le3$

a)

[0, 3]

b)

(0, 3)

c)

[0, 3)

d)

(0, 3]

9.

What is the RANGE?

a)

(-∞, ∞)

b)

(-2, ∞)

c)

[-2, ∞)

d)

(-∞, 0) U (0, ∞)

10.

What is the range?

a)

(-4,5]

b)

[-4,5)

c)

(-3,3)

d)

[-3,3]

11.

What is the domain of this function?

a)

(-∞,2]

b)

(-∞,+∞)

c)

[2,-∞)

d)

(-4,2)

12.

What is the range of this function?

a)

(-∞,+∞)

b)

(-4,2]

c)

(-∞,2]

d)

[2,-∞)

13.

What is the DOMAIN of the graph shown?

a)

(-4, 2]

b)

[-4, 2)

c)

[2, 5)

d)

(2, 5]

14.

What is the DOMAIN for the following graph?

a)

(-∞, ∞)

b)

(-∞, 0]

c)

[-12, 12]

d)

[-4, 0]

15.

What is the RANGE of the following graph?

a)

[0, ∞)

b)

[0, 3]

c)

(-∞, ∞)

16.

What is the DOMAIN of the function?

a)

[0, ∞)

b)

(-∞, ∞)

c)

(-∞, 0]

d)

[0, 3]

17.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

18.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

19.

a)

(-∞, 0]

b)

(-∞, 0)

c)

[0, -∞)

d)

[-5, 0]

20.

What is the RANGE of the function?

a)

[0, ∞)

b)

(-∞, ∞)

c)

(-∞, 0]

d)

[-1, 1]

21.

What is the RANGE of the graph shown?

a)

(-4, 2]

b)

[-4, 2)

c)

[2, 5)

d)

(2, 5]

22.

What is the domain of this graph?

a)

[-1,1]

b)

[-2,2]

c)

(-1,-2)

d)

(-∞,+∞)

Domain and Range of Functions with Interval Notation

Total questions: 22

Worksheet time: 3hrs 54mins

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