Answer:
If X repeats and y does not it is not an example of a function. But if the y repeats and has two different x values that can be known as a function.
For an example ( 1 , 3) and (1, 4) thats not an example of a function because the x value is repeating but if its ( 1, 4) and (2,4) a thats
a function because no x value is repeating the x value is known as an independent value. Does that make sense?
"This relation is definitely a function because every x-value is unique and is associated with only one value of y. So for a quick summary, if you see any duplicates or repetitions in the x-values, the relation is not a function."
If an x-value in a relation repeats, the y-value must also repeat for that x-value to make the relation to be defined as a function.
For a relation to be called a function, the following holds true:
Each x-value (input) has it's own unique y-value (output).
A x-value cannot give two different y-values.
If an x-value repeats, the corresponding y-value must repeat.
Therefore, if the x-value in a relation repeats, the y-value must also repeat for that x-value for the relation to be defined as a function.
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