# Worksheet: Definition of Functions

Q1:

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

• Ano
• Byes

Q2:

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

• Ayes
• Bno

Q3:

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

• Ayes
• Bno

Q4:

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

• Ano
• Byes

Q5:

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

• A
• B
• C
• D

Q6:

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

• A
• B
• C
• D

Q7:

Does the given graph represent a function?

• Ayes
• Bno

Q8:

Does the given graph represent a function?

• Ayes
• Bno

Q9:

Does the given graph represent a function?

• Ano
• Byes

Q10:

Does the given graph represent a function?

• Ano
• Byes

Q11:

Does the given graph represent a function?

• Ano
• Byes

Q12:

Does the given graph represent a function?

• Ano
• Byes

Q13:

Does the given graph represent a function?

• Ayes
• Bno

Q14:

Does the given graph represent a function?

• Ano
• Byes

Q15:

Does the given graph represent a function?

• Ayes
• Bno

Q16:

Does the given graph represent a function?

• Ayes
• Bno

Q17:

Does the given graph represent a function?

• Ayes
• Bno

Q18:

Does the given graph represent a function?

• Ayes
• Bno

Q19:

Michael believes that setting equal to the digit before the decimal point in the decimal expansion of , for each real number, defines a function from the real numbers to the set of digits . Since and are both decimal expansions of the real number 1, what does that say about ?

• A defines a function with .
• B defines a function with .
• C defines a function with or 1.
• D does not define a function.
• E defines a function with .

Q20:

Let and . Which of the following properties is true of the relation between and given by , where and ?

• A is not a function of because when there is no corresponding value of .
• B is not a function of because cannot always be found.
• C is not a function of because when there is no corresponding value of .
• D is a function of because each input gives a real number whose cube root gives the unique output .