How do you find the domain and range and determine whether the relation is a function given {(4,5), (6,5), (3,5)}?

1 Answer
Daniel L.
May 30, 2017

See explanation.

Explanation:

If a relation is given as the set of points then:

  • the domain is the set of all first (x) coordinates of the points. Here we have: D={3,4,6}

  • the range is the set of all second (y) coordinates. Here there is only one value of y, so rangeis a one element set: R={2}

  • to find if a relation is a function you have to find out if all values in the domain occur only once (have only one value)

Here the condition is met, so it is a function.

If there was another value for any of already mentioned arguments (for example if a point (3,-1) was added) then such relation would not be a function because argument 3 would have 2 different values: 5 and -1

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