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document.write( "The domain is given as {x|-2 < x ≤ 1}, which in interval notation is (-2,1]\r\n" );
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document.write( "For the range, let's graph it:\r\n" );
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document.write( "Now we'll cut it off past the domain on each side, and indicate the\r\n" );
document.write( "domain at the bottom (in green), and the range on the right of the\r\n" );
document.write( "graph (also in green).\r\n" );
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document.write( "As we can see, the range goes from the lowest point, which is the vertex of\r\n" );
document.write( "the parabola, to the highest point of the graph.\r\n" );
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document.write( "The x-coordinate of the vertex of a parabola is found with the formula\r\n" );
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for the equation
, So for\r\n" );
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, a=1, b=0, so the x-coordinate of the vertex is\r\n" );
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and the y-coordinate is 02+2 = 2.\r\n" );
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document.write( "So the vertex is the point (0,2)\r\n" );
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document.write( "The graph does NOT include the point (-2,6), but it DOES include the point\r\n" );
document.write( "(1,3). The graph DOES include the vertex (0,2).\r\n" );
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document.write( "So the range is from the y-coordinate of the vertex (0,2), which it DOES\r\n" );
document.write( "include, to the y-coordinate of the top point (-2,6), which it DOES NOT\r\n" );
document.write( "include.\r\n" );
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document.write( "So the range is [2,6).\r\n" );
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document.write( "Edwin
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