# Worksheet: Domain and Range of a Function

Q1:

Determine the range of .

• A
• B
• C
• D
• E

Q2:

Given that , , , and , which of the following sets correctly specify the range of the function?

• A
• B
• C
• D
• E

Q3:

Find the domain of the function .

• A
• B
• C
• D

Q4:

Find the range of the function

• A
• B
• C
• D
• E

Q5:

Given the function , answer the following.

Evaluate .

Evaluate .

Evaluate .

• A2
• B1
• C is not defined at 0.
• D3
• E7

What is the domain of ?

• A
• B
• C
• D
• E

What is the range of ?

• A
• B
• C
• D
• E

Solve .

• A
• B or
• C or
• D or
• E or

What is the solution set of ?

• A
• B
• C
• D
• E

What is the solution set of ?

• A
• B
• C
• D
• E

Q6:

Determine the range of the function represented by the figure in .

• A
• B
• C
• D
• E

Q7:

Determine the range of the function represented by the figure in .

• A
• B
• C
• D
• E

Q8:

Determine the range of the function represented by the figure in .

• A
• B
• C
• D
• E

Q9:

Determine the domain of the function

• A
• B
• C
• D

Q10:

Determine the domain of the function

• A
• B
• C
• D

Q11:

If , where , find the range of .

• A
• B
• C
• D

Q12:

Determine the range of the function in the given figure.

• A
• B
• C
• D
• E

Q13:

Determine the domain and the range of the function .

• A The domain is , and the range is .
• B The domain is , and the range is .
• C The domain is , and the range is .
• D The domain is , and the range is .
• E The domain is , and the range is .

Q14:

Functions and have the same domain {1, 2, 3, 4}. Which of the following statements must be true?

1. The range of has at most 4 elements.
2. The range of has elements, where = the size of the range of and = the size of the range of .
3. The range of has at least 1 element.
• A c only
• B a only
• C b only
• D a and c

Q15:

Determine the range of the function

• A
• B
• C
• D
• E

Q16:

Using the figure below, determine the range of .

• A
• B
• C
• D
• E

Q17:

Find the domain of the function .

• A
• B
• C
• D
• E

Q18:

Determine the domain of the function represented in the graph below.

• A
• B
• C
• D
• E

Q19:

Determine the domain of the function .

• A
• B
• C
• D

Q20:

The figure below shows the graph of a function .

What is the range of the function?

• A
• B
• C the interval
• D
• EIt is not possible to determine the range.

Q21:

Determine the domain of the function .

• A
• B
• C
• D
• E

Q22:

Determine the range of the function represented in the figure below.

• A
• B
• C
• D

Q23:

Determine the range of the function represented in the figure below.

• A
• B
• C
• D
• E

Q24:

Determine the range of the function represented in the figure below.

• A
• B
• C
• D

Q25:

Determine the domain of the function .

• A
• B
• C
• D