document.write( "Question 887510: When a function has an asymptote of y=-3, what's the rage?
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Algebra.Com's Answer #536704 by Edwin McCravy(20059)![]() ![]() You can put this solution on YOUR website! The other tutor only told you of one case, when the graph extends forever\r\n" ); document.write( "upward above the asymptote y=-3 and also forever below it.\r\n" ); document.write( "\r\n" ); document.write( "This case: (-infinite,-3)U(-3,infinity),\r\n" ); document.write( "\r\n" ); document.write( "but that's not the only possibility.\r\n" ); document.write( "\r\n" ); document.write( "Sometimes the range is just (-infinity,-3) when the graph is all below\r\n" ); document.write( "the asymptote y=-3, and extends forever downward, but no part of the\r\n" ); document.write( "graph is above the asymptote y=-3\r\n" ); document.write( "\r\n" ); document.write( "Sometimes it's just (-3,infinity), when the graph is all above\r\n" ); document.write( "the asymptote y=-3, and extends forever upward, and no part of the\r\n" ); document.write( "graph is below the asymptote y=-3\r\n" ); document.write( "\r\n" ); document.write( "And that's not all either:\r\n" ); document.write( "\r\n" ); document.write( "Here's a graph where the range is only (-3,-1):\r\n" ); document.write( "\r\n" ); document.write( "\n" ); document.write( " |