document.write( "Question 336047: determine whether this equation is a function of x? show your work 4x=y2 \n" ); document.write( "

Algebra.Com's Answer #240996 by jrfrunner(365) $\"\"$ $\"About$

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by definition, y=f(x) can be a function if for each x value there can be only one y.
\n" ); document.write( "The vertical line test, is that if you plot y and you can draw a vertical line and touch more than one y point, it is not a function.
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\n" ); document.write( "if you solve $\"4%2Ax=y%5E2\"$ for y, you get $\"y=-2%2Asqrt%28x%29\"$ and $\"y=2%2Asqrt%28x%29\"$ , which violates the definition of a function, more than one y for each x. \n" ); document.write( "

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