document.write( "Question 1039163: Which graph shows a function whose inverse is also a function?\r
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document.write( "How do I choose the right one from a picture of graphs? \n" );
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Algebra.Com's Answer #653974 by Edwin McCravy(20055)![]() ![]() You can put this solution on YOUR website! \r\n" ); document.write( "In general,\r\n" ); document.write( "A function graph must not pass above or below itself.\r\n" ); document.write( "Therefore, for its inverse to be a function, it must not \r\n" ); document.write( "pass either to the right or left of itself. \r\n" ); document.write( "\r\n" ); document.write( "Or ---\r\n" ); document.write( "\r\n" ); document.write( "A function graph must pass the vertical line test. That is,\r\n" ); document.write( "no vertical line can intersect the graph more than once. \r\n" ); document.write( "Therefore, in order for a function to have an inverse which \r\n" ); document.write( "is also a function, its graph must pass the horizontal line \r\n" ); document.write( "test. That is, no horizontal line can intersect the graph \r\n" ); document.write( "more than once.\r\n" ); document.write( "\r\n" ); document.write( "Edwin \n" ); document.write( " \n" ); document.write( " |