what does this mean? Which of the following relations is a function? a. {(4, 5), (6, 7), (8, 9), (8, 11)} b. {(2, 0), (2, 1), (2, 2), (2, 3)} c. {(3, 5), (4, 7), (5, 9), (5, 11)} d. {(0, 2), (1, 2), (2, 2), (3, 2)}

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what does this mean? Which of the following relations is a function? a. {(4, 5), (6, 7), (8, 9), (8, 11)} b. {(2, 0), (2, 1), (2, 2), (2, 3)} c. {(3, 5), (4, 7), (5, 9), (5, 11)} d. {(0, 2), (1, 2), (2, 2), (3, 2)}

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A function is a set of ordered pairs in which each x-element has only ONE y-element associated with it.
So basically, for it to be a function, you cant have 2,6 and 2,7 because that means that the x element (2) has two different y elements.
For a function note these point every element of set domain must be used . every element of set domain must have only one image now guess what is the correct answer

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@wolftears what is the correct answer
its not c
or d im thinking
a vertical line test is used to determine if we have a function or not, but then we have to plot these points manually and that might not be the best way to handle this. We usually focus on the x values. So any x value repeating itself is not a function.
pick the one where there is no repeat in the first number in each ordered pair for example 2 is not right because \[b. {(\color{red}2, 0), (\color{red}2, 1), (2, 2), (2, 3)} \] the 2 repeats
ok now that B isn't the answer . Let's look at the x-values for a c and d a. 4 6 8 8 c. 3 4 5 5 d. 0 1 2 3 can you see which multiple choice is repeating?
c and a bc c is 55 and a is 88
yes and since d has no repeating x values...that's a function

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