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General functions practice

Domain and range from ordered pairs worksheets

Find the domain and range of ten five-pair relations. Choose negative or nonnegative coordinates, control repeats independently and optionally classify each relation as a function.

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List each distinct first coordinate in the domain and each distinct second coordinate in the range. If asked, decide whether each input has exactly one output.

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Collect the first and second coordinates

Each sheet contains ten relations with five distinct ordered pairs. Choose negative or nonnegative coordinates and control repeated domain and range values independently.

Turn on function classification to add a Yes or No decision. When domain repeats are enabled, each sheet includes five functions and five nonfunctions.

Learning objective

What this activity builds

Collect the distinct first and second coordinates of a relation and use repeated inputs to test whether it is a function.

Worked example

For {(4, −9), (9, 8), (8, −5), (−7, 6), (−7, −6)}, find the domain and range and classify the relation.

Domain {−7, 4, 8, 9}; range {−9, −6, −5, 6, 8}; not a function.

Sets list each value once in order. The input −7 has two different outputs, so the relation is not a function.

Teaching notes

Make the practice count

  • Read first coordinates vertically before sorting.
  • Write each set value only once.
  • Keep negative signs attached to their numbers.
  • Repeated outputs are allowed in a function.
  • A repeated input is a problem only when it has different outputs.

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Math SheetNameScore/ 20TeacherDateDomain and Range from Ordered PairsWrite the domain and range of each relation.1.(-8, -4), (5, -1), (9, 3), (4, 9), (7, 9)Domain:Range:2.(-6, -8), (-7, 5), (-3, 1), (1, -8), (3, 9)Domain:Range:3.(-5, -6), (4, 5), (3, 7), (-9, 5), (0, 4)Domain:Range:4.(7, 3), (-5, -5), (6, 9), (6, -7), (5, -7)Domain:Range:5.(-4, 2), (4, 8), (6, 8), (4, 7), (-6, -9)Domain:Range:6.(-8, 3), (-3, 8), (-8, 0), (8, 0), (7, -5)Domain:Range:7.(-6, -8), (5, 7), (6, 8), (6, -6), (-2, -6)Domain:Range:8.(2, 1), (4, 4), (7, 4), (6, 6), (1, 5)Domain:Range:9.(5, -3), (-1, 7), (-6, 7), (-3, -1), (4, -7)Domain:Range:10.(-1, 1), (-9, 8), (-8, 4), (2, 6), (-8, 6)Domain:Range:math-sheet.comPage 1 / 1

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