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The normal test for checking that a graph represents a function is to check that it is not one-to-many. That is, one value of x does not get mapped onto more than one value of y. If you can draw any vertical line that intersects the graph at more than one point then it is not a function. If no such line can be drawn then it may be a function. You still have no guarantee that it is.
One more requirement of a function is that every point in the domain has an image in the codomain (range).
Consider the graph of
y = 2x for 0 < x < 2
and
y = 2x for 2 < x < 4
Is it a function over the domain 0 < x < 4?
For every point in the domain there must be a point in the range. It is not possible to check this graphically.
In this respect, the question is flawed.
What else can I help you with?
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-5
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