document.write( "Question 831015: Given the following piecewise function:
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\n" ); document.write( "Is f continuous on its domain? If not, state where f is discontinuous.
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Algebra.Com's Answer #501097 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "Given the following piecewise function:\r\n" );
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document.write( "Let's graph it first.\r\n" );
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document.write( "Get two points for the left part of the graph, which is\r\n" );
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document.write( "y=2x-4, choose x left of the endpoint -3, say -5, (-5,-14)\r\n" );
document.write( "Now choose x at the endpoint (-3,-10) [but we will stop the line just\r\n" );
document.write( "before it gets to (-3,10) and draw a circle at (-3,10) because\r\n" );
document.write( "the graph does not include x=-3 because of the x < -3.\r\n" );
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document.write( "y=-1.  The middle part of the graph is just the line y=-1 which is a \r\n" );
document.write( "horizontal line from (-3,-1) to (4,-1).  Put a solid circle at\r\n" );
document.write( "the endpoints because it includes both endpoints because of the\r\n" );
document.write( "<'s on both ends. \r\n" );
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document.write( "y=-x.  Get two points for the right part of the graph. Choose x right of\r\n" );
document.write( "the endpoint 4, say 6, (6,-6).  Now choose x at the endpoint (4,-4) \r\n" );
document.write( "[but we will start the line just after (4,-4) and draw a circle at\r\n" );
document.write( "(4,-4) because the graph does not include x=4 because of the x > 4.\r\n" );
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document.write( "So the graph is:\r\n" );
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document.write( " a.\r\n" );
document.write( " Find the domain.\r\n" );
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document.write( "All values of x can be substituted, so the domain is (\"-infinity\",\"infinity\")\r\n" );
document.write( " b.\r\n" );
document.write( " Find the range.\r\n" );
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document.write( "The values of y never go above -1, but they can be -1 or any value below -1,\r\n" );
document.write( "and since the graph includes points where y=-1, the range is (\"-infinity\",-1].\r\n" );
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document.write( "c.\r\n" );
document.write( " Find the intercepts.\r\n" );
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document.write( "There are no x-intercepts because the graph does not cross the x-axis.\r\n" );
document.write( "The y intercept is (0,-1) because the graph crosses the y-axis there.\r\n" );
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document.write( " d.\r\n" );
document.write( " Is f continuous on its domain? If not, state where f is discontinuous.\r\n" );
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document.write( "The graph is discontinuous at x=-3 and at x=4.\r\n" );
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document.write( " e.\r\n" );
document.write( " Graph the function\r\n" );
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document.write( "We already did.\r\n" );
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document.write( "Edwin
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