Mathematics

Question

what is the function, domain and range of {(1,1) (2,2) (3,5) (4,10) (5,15)}?

2 Answer

  • This is a function because each x value has its own y value.

    The domain is all the x values : 1,2,3,4,5

    The range is all the y values: 1,2,5,10,15
  • Step-by-step explanation: To determine whether the relation shown here is a function, it's important to understand that a function is a relation in which each x-term corresponds to exactly one y-term.

    Each of the x-terms shown here 1, 2, 3, 4, and 5 appears only once so each x-term corresponds to only one y-term. So yes, this relation is a function.

    The domain of a relation is the set of all the x-terms of the relation. So here, the domain will be the set of all the x-terms or {1, 2, 3, 4, 5}.

    The range of a relation is the set of all the y-terms of the relation. SO here, the range will be the set of all the y-terms or {1, 2, 5, 10, 15}.

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