Worksheet: Recognizing Functions from Diagrams and Sets

In this worksheet, we will practice identifying and representing a function.

Q1:

Does the relation shown by the arrow diagram represent a function?

• Ano
• Byes

Q2:

Which of the relations shown by the set of the ordered pairs below does not represent a function?

• A
• B
• C
• D

Q3:

If is a function on , where , , , , and , which of the following statements is true?

• A
• B
• C
• D
• E

Q4:

Which of the following relations represents a function from to ?

• A
• B
• C
• D

Q5:

Which of the following relations represents a function?

• ARelation A
• BRelation B

Q6:

Determine whether the following statement is true or false: The given figure represents a function.

• Afalse
• Btrue

Q7:

Given that , which of the following relations defines a function on the domain ?

• A
• B
• C
• D
• E

Q8:

Which of the following Cartesian diagrams represents a function from to ?

• A(c)
• B(b)
• C(d)
• D(a)

Q9:

Which of the following relations represents a function given that is the input and is the output.

• A(b)
• B(a)

Q10:

If is a function on , where , , , , and , which of the following statements is true?

• A
• B
• C
• D

Q11:

If is a function on , where , , , , and , which of the following statements is true?

• A
• B
• C
• D
• E

Q12:

Does the relation shown by the arrow diagram represent a function?

• Ayes
• Bno

Q13:

Does the relation shown by the arrow diagram represent a function?

• Ayes
• Bno

Q14:

Does the relation shown by the arrow diagram represent a function?

• Ayes
• Bno

Q15:

Which of the following relations represents a function from to ?

• A
• B
• C
• D

Q16:

Given that , which of the following relations defines a function on the domain ?

• A
• B
• C
• D
• E

Q17:

Given that , which of the following relations defines a function on the domain ?

• A
• B
• C
• D
• E

Q18:

Given that , which of the following relations defines a function on the domain ?

• A
• B
• C
• D
• E

Q19:

Given that , which of the following relations defines a function on the domain ?

• A
• B
• C
• D
• E

Q20:

Which of the following Cartesian diagrams represents a function from to ?

• A(c)
• B(a)
• C(d)
• D(b)