Is $x = y^{2}$ $x=y^2$ a function?

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Is $x = y^{2}$ $x=y^2$ a function?

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Answer 1 · 2015-07-13T23:38:12

No it isn't.

Explanation:

A function gives just one $y$ $y$ for every $x$ $x$ .
In this case there will always be two $y$ $y$ 's for every $x$ $x$ , because the reverse will be $y = + \sqrt{x} or y = - \sqrt{x}$ $y=+sqrtxory=-sqrtx$

Example: $x = 4 \to y = - 2 or y = + 2$ $x=4->y=-2ory=+2$

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Is $x = y^{2}$ $x=y^2$ a function?

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