How do you use the vertical line test to show #x^2+y^2=9# is a function?

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How do you use the vertical line test to show #x^2+y^2=9# is a function?

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Answer 1 · 2015-06-05T21:23:48

It is not a function.

For example, the vertical line #x=0# intercepts the curve described by this equation at two points, viz #(0, 3)# and #(0, -3)#. So #y# is not uniquely defined for each value of #x#.

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How do you use the vertical line test to show #x^2+y^2=9# is a function?

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