Question

Is the relation {(0,2), (5,2), (-2,5), (3,4)} a function?

Answer 1

If the relation is a function, then a given x value can be paired with EXACTLY one y-value.

Looking at the x = 0 coordinate, it is paired with 2 and only 2. So far, so good.

Answer 2

This is tricky here: (5,2), (-2,5).

Many people see two 5s and automatically think that this relation is not a function.

@cuitiefromthesouth2 Question.

Look at (5,2) in the posted relation. Does the x value of 5 go with any number other than the 2? Yes or no.

Answer 3

yes

Answer 4

Okay, where does the x value of 5 go in addition to the 2?

Answer 5

@cutiefromthesouth2

If you are looking at the ordered pair -->(-2,5), there is a 5 for a y-value.

But, the value of x that goes with that 5 is -2 and not the 5 in (5,2).

There can be no two-timing xs in a function. A particular x cannot go to two different y values for that x.

Answer 6

oh okay, still a little confused

Answer 7

For a relation to be a function, there must be only and exactly one y that corresponds to a given x.

Look at the attached diagram of a relation that is NOT a function.

Answer 8

oh okay so its yes

Answer 9

Yours looks like this:

Attached; your mapping.

Answer 10

You have a y that goes to two different xs but that is okay.

It is when an x goes to two different y values that the relation is not a function.

Answer 11

@cuitiefromthesouth2

>>>> oh okay so its yes YES, that is correct.