document.write( "Question 1203502: What is the range of the function given by the following graph, and how did you figure it out?
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Algebra.Com's Answer #839119 by mccravyedwin(407)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Here's how to find the range:\r\n" );
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document.write( "\"graph%28400%2C200%2C-12%2C12%2C-6%2C6%2C48%2F%28%28x-4%29%28x%2B4%29%29%29\"\r\n" );
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document.write( "Think of drawing a horizontal line through every point on the graph,\r\n" );
document.write( "like this. (Don't actually do it, but think of doing it.)\r\n" );
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document.write( "What points on they y-axis will have a line through them?\r\n" );
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document.write( "There will be lines through every point on the graph from\r\n" );
document.write( "negative infinity up to AND including -3. So the first part \r\n" );
document.write( "of the range will be \r\n" );
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document.write( "               (-infinity,3]\r\n" );
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document.write( "We don't include infinity or -infinity, so we put a \"(\" or \")\" next to \r\n" );
document.write( "positive or negative infinity.  We put a \"]\" or \"[\" next to a point we\r\n" );
document.write( "include.\r\n" );
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document.write( "Then there will be NO lines through the y-axis from -3 up to the x-axis.\r\n" );
document.write( "So there will not be a line along the x-axis, for that is a horizontal\r\n" );
document.write( "asymptote. But there will be lines through the rest of the points on the \r\n" );
document.write( "y-axis. So that upper part of the range is (0,infinity).  We \"union\" them\r\n" );
document.write( "together with a U\r\n" );
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document.write( "So the final answer is \r\n" );
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document.write( "              (-infinity,-3] U (0,infinity)\r\n" );
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document.write( "We use a \"(\" next to 0 because we do not include it, we have a horizontal\r\n" );
document.write( "asymptote there.\r\n" );
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document.write( "Edwin
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