For #x=0#, does it pass the vertical line test?

Answer 1

The line #x=0# does not pass the 'vertical line test' since the vertical line #x=0# intersects with it at more than one point (in fact at rather a lot of points). So #x=0# does not define a function.

The equation #x=0# defines a vertical line. It does not define a function of #x#, since there a multiple values of #y# for the value #x=0#.

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Answer 2

Eva Abramson

Yes, it passes the vertical line test.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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