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mayakinseth46171
11.10.2020 •
Mathematics
Which set of ordered pairs represents y as a function of x?
Group of answer choices
{(0, 0), (1, 1), (1, 0), (2, 1)}
{(2, -1), (4, -2), (6, -3), (8, -4)}
{(1, -5), (1, 5), (2, -10), (2, -15)}
{(3, 3), (3, 4), (4, 3), (4, 4)}
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Ответ:
{(2, -1), (4, -2), (6, -3), (8, -4)}
In this relation, each point has a unique x coordinate. None of the x coordinates repeat themselves.
For something like choice A, we have x = 1 repeated. The input x = 1 leads to multiple outputs (y = 1 and y = 0 simultaneously).
The same situation happens in choice C also. This time x = 1 and x = 2 repeat themselves.
Choice D has x = 3 and x = 4 repeat themselves.
A function is only possible if each x input leads to exactly one y output.
Ответ: