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Which of the following represents a function?

Which of the following represents a function?-example-1

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Answer:

B

Explanation:

B is the only choice that passes the "is it a function?" test. For every value of x, there can be only one unique value of y. For a graph, do the vertical line test. For tables or a graphic like the one shown in choice D, check all the values of x and the corresponding values of y. If the value for x is repeated and there are different values of y for that x, then it is not a function. For example, in Choice A, f(3) equals 14 and 19, so it is not a function. In C, f(-1) equals -11 and 5: not a function! In D, f(3) = 5, 0: not a function! Therefore, B is the only function. For every x, there is only one y.

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