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)\"\" \"About 
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( "\"graph%28600%2C600%2C-5%2C5%2C-10%2C10%2Cabs%28-2x%29%29\"
\n" ); document.write( "the graph of |2x| is shown below:
\n" ); document.write( "\"graph%28600%2C600%2C-5%2C5%2C-10%2C10%2Cabs%282x%29%29\"
\n" ); document.write( "as you can see, both graph are identical.\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );