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Mathematics 15 Online
OpenStudy (nikki_skellington):

Which set of ordered pairs represents a function? {(0, 1), (1, 2), (2, 3), (3, 3)} {(0, 1), (1, 2), (1, 3), (2, 5)} {(0, 0), (1, 2), (2, 4), (2, 6)} {(0, 0), (0, 1), (2, 0), (2, 4)}

OpenStudy (mathstudent55):

A function can only use each x-coordinate once. If you see a set of ordered pairs in which two ordered pairs have the same x-coordinate, then that is not a function.

OpenStudy (nikki_skellington):

thank you!

OpenStudy (mathstudent55):

Did you get an answer?

OpenStudy (nikki_skellington):

i got C

OpenStudy (mathstudent55):

You're welcome.

OpenStudy (mathstudent55):

That is incorrect. Did you read my explanation carefully?

OpenStudy (mathstudent55):

The x-coordinate is the first number in an ordered pair. In the ordered pair (9, 15), 9 is the x-coordinate. Ok so far?

OpenStudy (nikki_skellington):

yea that is what i messed up on wrong column

OpenStudy (mathstudent55):

Here is option A of your problem: {(0, 1), (1, 2), (2, 3), (3, 3)} Can you just list the x-coordinates of option A?

OpenStudy (nikki_skellington):

0,1,2, and 3

OpenStudy (nikki_skellington):

is it B

OpenStudy (mathstudent55):

Remember, an ordered pair is typically (x, y) x followed by y, just like in alphabetical order where x is before y. You are correct. Notice that the x-coordinates of option A are all different. That makes option A a function. Notice that in all other options, there is always at least one x-coordinate that is repeated. Options B, C, and D are not functions.

OpenStudy (nikki_skellington):

ohh, ok i get it now. Thanks again

OpenStudy (mathstudent55):

You're welcome.

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