document.write( "Question 823268: Please help me sketch $\"+g%28x%29=-sqrt%2816-3x%29+\"$ by first determining the axial intercepts and asymptotes.
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Algebra.Com's Answer #495377 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "g(x) = -√16-3x\r\n" );
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document.write( "There are no asymptotes, since there are no denominators with variables.\r\n" );
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document.write( "y = -√16-3x\r\n" );
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document.write( "Find the y intercept by substituting 0 for x:\r\n" );
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document.write( "y = -√16-3(0)\r\n" );
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document.write( "y = -√16\r\n" );
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document.write( "y = -4\r\n" );
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document.write( "So the y-intercept is (0,-4)\r\n" );
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document.write( "Find the x-intercept by substituting 0 for y\r\n" );
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document.write( "0 = -√16-3x\r\n" );
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document.write( "Square both sides\r\n" );
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document.write( " 0 = 16-3x\r\n" );
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document.write( "3x = 16 \r\n" );
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document.write( " x = \r\n" );
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document.write( "So the x intercept is (,0) or (,0)\r\n" );
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document.write( "Maybe we need a few more points\r\n" );
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document.write( " x|y\r\n" );
document.write( " 5|-1\r\n" );
document.write( "-3|-5\r\n" );
document.write( " 2|-3.6\r\n" );
document.write( " 4|-2\r\n" );
document.write( "-5|-5.6\r\n" );
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document.write( "Now we can sketch it:\r\n" );
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document.write( "Notice that it is the bottom half of a parabola:.  The top half of the\r\n" );
document.write( "parabola, the dotted part below, has the equation y = +√16-3x.  It takes \r\n" );
document.write( "two separate equations to get the graph of the whole parabola:\r\n" );
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document.write( "Edwin

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