# Worksheet: Vector-Valued Functions

In this worksheet, we will practice defining, evaluating and graphing vector-valued functions.

Q1:

Sketch the graphs of the vector-valued function .

• A • B • C • D • E Q2:

Sketch the graph of the vector-valued function .

• A • B • C • D • E Q3:

Find the domain of the vector-valued function .

• A, where is an integer number
• B
• C
• D, where is an integer number
• E, where is an integer number

Q4:

Sketch the graphs of the vector-valued function .

• A • B • C • D • E Q5:

For the given function , evaluate .

• A
• B
• C2
• D3
• E

Q6:

For the given function , find .

• A
• B
• C
• D
• E

Q7:

Find the domain of the vector-valued function .

• A, , where is an integer
• B, , where is an integer
• C, , where is an integer
• D, , where is an integer
• E, , where is an integer

Q8:

For the given function , evaluate .

• A
• B5
• C2
• D
• E

Q9:

For the given function , evaluate .

• A
• B3
• C5
• D
• E

Q10:

Find the domain of the vector-valued function .

• A
• B
• C
• D
• E

Q11:

For the vector-valued function evaluate .

• A
• B131
• C
• D
• E

Q12:

Which of the following vector-valued equations is represented by the graph shown below? • A
• B
• C
• D
• E

Q13:

Identify the graph of the vector-valued function .

• A • B • C • D • E Q14:

Find the domain of the vector-valued function .

• A, , and , where is an integer.
• B, , and , where is an integer.
• C, , and , where is an integer.
• D, , and , where is an integer.
• E, , and , where is an integer.

Q15:

Sketch the graph of the vector-valued function .

• A • B • C • D • E 