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Mathematics 18 Online
OpenStudy (joehoffy):

Which of the sets of ordered pairs represents a function? A = {(−5, 5), (−2, 2), (2, −2), (5, −5)} B = {(4, 2), (3, −2), (9, 4), (11, −3)} Only A Only B Both A and B Neither A nor B

OpenStudy (michele_laino):

hint: a function, is a relation between two variables, say \(x\) and \(y\), such that, for one value of \(x\) there is one and \(only\) one value of \(y\). The function can be represented by the list of all ordered pairs \((x,y)\)

OpenStudy (joehoffy):

okay but i dont know how to solve this.

OpenStudy (michele_laino):

are there two or more ordered pairs such that they have same \(x\) and different \(y\) values?

OpenStudy (joehoffy):

yes

OpenStudy (michele_laino):

are you sure?

OpenStudy (joehoffy):

wait no, there is one x and one y

OpenStudy (joehoffy):

for every pair

OpenStudy (michele_laino):

so, what can you conclude?

OpenStudy (joehoffy):

that a and b are functions?

OpenStudy (michele_laino):

correct! what is the right option?

OpenStudy (joehoffy):

C

OpenStudy (michele_laino):

that's right!

OpenStudy (joehoffy):

thank you so much!

OpenStudy (michele_laino):

:)

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