Question

Is the relation a function? Explain in sentence.

{(–5, –5), (3, 10), (7, 14), (3, 9)}

Answer 1

A function of x is only a function when there is only one x value for every y. Looking at the coordinates, we see that there are two occurrences of the x=3, and so this relation cannot be a function of x.

As a side note, it is technically false when someone claims it is not a function, since this is most likely a valid function of y.

Answer 2

notice how you have (3,10) and (3,9)

when x = 3, y is both y = 10 and y = 9

however, when you have a function you should only get EXACTLY ONE output for any given input

Answer 3

so this invalidates the fact that this is a function

so {(–5, –5), (3, 10), (7, 14), (3, 9)} is NOT a function for this reason