document.write( "Question 714246: How can you graph absolute value equations? |x|+|y|=2 \n" ); document.write( "
Algebra.Com's Answer #438767 by Edwin McCravy(20056)\"\" \"About 
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document.write( "|x| + |y| = 2\r\n" );
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document.write( "We find the x-intercepts by setting y=0\r\n" );
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document.write( "|x| + |0| = 2\r\n" );
document.write( "      |x| = 2\r\n" );
document.write( "        x = ±2\r\n" );
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document.write( "So the x-intercepts are (2,0) and (-2,0)\r\n" );
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document.write( "We find the y-intercepts by setting x=0\r\n" );
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document.write( "|0| + |y| = 2\r\n" );
document.write( "      |y| = 2\r\n" );
document.write( "        y = ±2\r\n" );
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document.write( "So the y-intercepts are (0,2) and (0,-2) \r\n" );
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document.write( "We plot those:\r\n" );
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document.write( "We find some more points.\r\n" );
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document.write( "Let x=1 and solve for y\r\n" );
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document.write( "|1| + |y| = 2\r\n" );
document.write( "  1 + |y| = 2\r\n" );
document.write( "      |y| = 1\r\n" );
document.write( "        y = ±1  so we have the points (1,1) and (1,-1)\r\n" );
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document.write( "Let x=-1 and solve for y\r\n" );
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document.write( "|-1| + |y| = 2\r\n" );
document.write( "   1 + |y| = 2\r\n" );
document.write( "       |y| = 1\r\n" );
document.write( "         y = ±1  so we have the points (-1,1) and (-1,-1)\r\n" );
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document.write( "We plot those four points:\r\n" );
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document.write( "And we sketch in the graph:\r\n" );
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document.write( "Edwin
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