document.write( "Question 258299: is y2=3x A FUNCTION \n" ); document.write( "
Algebra.Com's Answer #190147 by Theo(13342)\"\" \"About 
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y^2 = 3x is not a function.\r
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\n" ); document.write( "\n" ); document.write( "solve for y to get:\r
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\n" ); document.write( "\n" ); document.write( "y = +/- sqrt(3x)\r
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\n" ); document.write( "\n" ); document.write( "for it to be a function there has to be one and only one value of y for each value of x.\r
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\n" ); document.write( "\n" ); document.write( "if there is at least one instance where there are more than 1 value of y for each value of x, then it is a relation and not a function.\r
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\n" ); document.write( "\n" ); document.write( "you give the graph of this equation the vertical line test.\r
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\n" ); document.write( "\n" ); document.write( "if the vertical line cuts through more than one point on the graph of the equation, then it is not a function.\r
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\n" ); document.write( "\n" ); document.write( "graph of this equation is shown below:\r
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\n" ); document.write( "\n" ); document.write( "\"graph+%28600%2C600%2C-10%2C10%2C-10%2C10%2Csqrt%283x%29%2C-sqrt%283x%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "on this graph, you can see that a vertical line passing through the graph of the equation will cut through the equation twice for each value of x at all points except at the vertex.\r
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