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39 votes
Please help. I don’t understand these.

Please help. I don’t understand these.-example-1
User Pheaver
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1 Answer

17 votes
17 votes

Answer:

No. This graph does not represent a function.

Explanation:

The easiest way to say it is that this is not a function because it does not pass the vertical line test. This test takes all theoretical vertical lines that pass through a graph; if any vertical line intersects the graph more than once, the graph does not represent a function.

Another way to say it is that each input can correspond to only a single output. So, for each x value, there can be only one y value. It must be remembered that the reverse is not true; one output can correspond to more than one input (as in quadratic functions). This is not the graph of a function because at the input x=2, for example, the output y equals -6, -2, 2, and 6.

To revisit the vertical line test, the vertical line x=2 intersects the graph four times.

This is not the graph of a function.

User YaOg
by
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