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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 .