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How can I figure out what set is a function? I did not understand this in class today.

How can I figure out what set is a function? I did not understand this in class today-example-1
User Cabita
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Functions

A function is a relation in which each input has only one output.

If we are given a set of ordered pairs (x,y) and find that for a specific value of x there is more than one value of y, then it's NOT a function.

Let's analyze each option.

The first set contains two ordered pairs (7,-3) and (7,9) that give for x=7 two different values of y, so this is not a function.

The third set contains the ordered pairs (6,6) and (6,-7). The input value 6 has two different output values. This is not a function either.

The fourth set also fails to be a function because (0,-5) and (0,-2) give to x=0 two different outputs for y.

The second option is a function because every value of the input set has only one value in the output set.

User Gus Crawford
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