document.write( "Question 825453: graph the function y= |x + 2| + 1 on the interval -5< x < 1 \n" ); document.write( "
Algebra.Com's Answer #497451 by Edwin McCravy(20065)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "We find the vertex by setting what is between the\r\n" );
document.write( "absolute value bars equal to 0.\r\n" );
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document.write( "y = |x + 2| + 1\r\n" );
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document.write( "x + 2 = 0\r\n" );
document.write( "    x = -2\r\n" );
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document.write( "Then substitute that into \r\n" );
document.write( "y = |x + 2| + 1\r\n" );
document.write( "y = |-2 + 2| + 1\r\n" );
document.write( "y = 0 + 1 \r\n" );
document.write( "y = 1\r\n" );
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document.write( "So the vertex is (-2,1).  Get a couple more points, \r\n" );
document.write( "say (0,3) and (-4,3).  Since we are told to graph it\r\n" );
document.write( "only on the interval -5 < x < 1, we draw little open \r\n" );
document.write( "circles at the endpoints to show that the graph does \r\n" );
document.write( "not include those endpoints. \r\n" );
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document.write( "The domain is {x | -5 < x < 1} and the range is {y | 1 < y < 4}.\r\n" );
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document.write( "Edwin
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