Question

Which of the following representations shows y as a function of x?

F.

G.

H.

J.

IN

((9,2), (8, 2), (9, 3), (8,3)} {(0,4), (1,6), (2,8), (0, 9))

Answer 1

A function is a set of ordered pairs, where each input (x-value) is associated with exactly one output (y-value).

From the given representations, only the option F shows y as a function of x. In option F, each x-value is associated with exactly one y-value.

In option G, the ordered pairs (9, 2) and (9, 3) have the same x-value but different y-values, which means y is not a function of x.

In option H, the ordered pairs (1, 3) and (2, 3) have the same y-value but different x-values, which means x is not a function of y.

In option J, the ordered pairs (1, 2) and (3, 4) have the same difference in x and y values, but they do not have a constant ratio between them, which means y is not a function of x.

Therefore, only option F shows y as a function of x.

Explanation:

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