Domain, Range and Functions

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1. For the ordered pair listed below, what is the domain and range.

[(1, 1), (2, 4), (3, 9), (4, 16), (5, 25)].

  Domain = {1, 2, 3, 4, 5},   Range = {1, 4, 9, 16, 25}
  Domain = {1, 2, 3, 4, 5},  Range = {1, 2, 3, 4, 5, 9, 16, 25}
  Domain = {1, 4, 9, 16, 25},  Range = {1, 2, 3, 4, 5}


2. For the ordered pair listed below, what is the domain and range.

[(-1, -1), (-2, -8), (-3, -27), (-4, -64), (-5, -125)].

  Domain = {1, 2, 3, 4, 5},  Range = {1, 8, 27, 64, 125}
  Domain = {-1, -8, -27, -64, -125},  Range = {-1, -2, -3, -4, -5}
  Domain = {-1, -2, -3, -4, -5},   Range = {-1, -8, -27, -64, -125}


3. For the ordered pair listed below, what is the domain and range.

[(7, 5), (12, 8), (3, 5), (-4, 2), (sqrt2 , 5)].

  Domain = {7, 12, 3, -4, sqrt2},  Range = {1, 8, 27, 64, 125}
  Domain = {1, 8, 27, 64, 125}, Range = {7, 12, 3, -4, sqrt2}
  Domain = {-4, 1, sqrt2, 3, 7, 8, 12, 27, 64, 125},  Range = {-4, 1, sqrt2, 3, 7, 8, 12, 27, 64, 125}


4. For the ordered pair listed below, what is the domain and range.

[(4, 3), (pi, 5), (-7, 2), (0, 0), (3 , 9)].

  Domain = {-7, 0, 3, pi, 4},  Range = {0, 2, 3, 5, 9}
  Domain = {-7, 0, 2, 3, pi, 4, 5, 9},  Range = {-7, 0, 2, 3, pi, 4, 5, 9}
  Range = {-7, 0, 3, pi, 4},  Domain = {0, 2, 3, 5, 9}


5. For the ordered pair listed below, what is the domain and range.

[(apple, turnover), (cherry, pie), (peach, cobbler), (strawberry, tart)].

  Domain = {apple, cherry, peach, strawberry, turnover, pie, cobbler, tart}, 
        Range = {apple, cherry, peach, strawberry, turnover, pie, cobbler, tart}
  Domain = {apple, cherry, peach, strawberry},  Range = {turnover, pie, cobbler, tart}
  Domain = {turnover, pie, cobbler, tart}, Range = {apple, cherry, peach, strawberry}




6. Is the following graph a function?

graph of y = x^3

  Yes, it is a function but not a relation.
  It is a relation, but not a function.
  It is both a function and a relation.


7. For the ordered pair listed below, what is the domain and range.

graph of y = +/1 x^2

 Yes, it is a function but not a relation.
  It is a relation, but not a function.
  It is both a function and a relation.


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Copyright © 2000 Donna Tupper.