document.write( "Question 1001927: determine whether y=2 is a function \n" ); document.write( "
Algebra.Com's Answer #618978 by Theo(13342)![]() ![]() You can put this solution on YOUR website! yes it is.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 2 is a horizontal line.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the value of y is equal to 2 regardless of what the value of x is.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "however, each value of x yields one and only one value of y, therefore the equation is a function.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can have multiple values of x for each value of y, but you cannot have multiple values of y for each value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the definition of a funcftion.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "only 1 value of y for each and every value of x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "graph the equation and give it the vertical line test and you'll see that each and every value of x yields only 1 value of y.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's the graph:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |