document.write( "Question 854649: I have to find points and make a V shaped graph for the absolute function h(x)=|-2x|. What would the points of the graph be also the domain and range? \n" ); document.write( "
Algebra.Com's Answer #514817 by Theo(13342) You can put this solution on YOUR website! when x = 0, h(x) = 0 \n" ); document.write( "when x = 1, h(x) = 2 \n" ); document.write( "when x = -1, h(x) = 2 \n" ); document.write( "when x = 2, h(x) = 4 \n" ); document.write( "when x = -2, h(x) = 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "h(x) will always be positive. \n" ); document.write( "the v shaped graph has a minimum point at x = 0. \n" ); document.write( "the points on the graph are that y will always be equal to |2 * x|. \n" ); document.write( "whether the expression within the absolute value signs was -2x or 2x is irrelevant. \n" ); document.write( "the result will always be positive. \n" ); document.write( "the domain is all real values of x. \n" ); document.write( "the range is all real values of x >= 0. \n" ); document.write( "the graph of |-2x| is shown below: \n" ); document.write( " \n" ); document.write( "the graph of |2x| is shown below: \n" ); document.write( " \n" ); document.write( "as you can see, both graph are identical.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |