document.write( "Question 258299: is y2=3x A FUNCTION \n" ); document.write( "
Algebra.Com's Answer #190147 by Theo(13342)![]() ![]() You can put this solution on YOUR website! y^2 = 3x is not a function.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for y to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = +/- sqrt(3x)\r \n" ); document.write( " \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 \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you give the graph of this equation the vertical line test.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "graph of this equation is shown below:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |