document.write( "Question 71811: Find the domain and range of the graph of each function. y=log2(x-3)
\n" ); document.write( "(2 is the base of the log) WE were told that the answer would involve inf. -inf or xero \n" ); document.write( "
Algebra.Com's Answer #51337 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
Find the domain and range of the graph of each function. \r\n" );
document.write( "y=log2(x-3). WE were told that the answer would involve \r\n" );
document.write( "inf. -inf or zero\r\n" );
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document.write( "Only logarithms of positive numbers are defined.   Therefore log2(x-3) \r\n" );
document.write( "is only defined when x-3 is positive, or\r\n" );
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document.write( "                          x - 3 > 0\r\n" );
document.write( "                              x > 3\r\n" );
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document.write( "So the domain is (3, ¥)\r\n" );
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document.write( "Plot the graph by y = log2(x-3) getting some points, say\r\n" );
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document.write( "(4,0), (5,1), (7,2), (11,3) (3.25, -2)\r\n" );
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document.write( "\"+graph%28300%2C+300%2C+-3%2C+12%2C+-11%2C+4%2C+ln%28x-3%29%2Fln%282%29%29\"  \r\n" );
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document.write( "The vertical line (drawn in green below) has equation x = 3 \r\n" );
document.write( "and it is an asymptote:\r\n" );
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document.write( "\"+graph%28300%2C+300%2C+-3%2C+12%2C+-11%2C+4%2C+ln%28x-3%29%2Fln%282%29%2C+999%28x-3%29%29\"\r\n" );
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document.write( "So the range (the set of possible y-values) contains all real \r\n" );
document.write( "values and is thus (-¥, ¥)\r\n" );
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document.write( "Edwin

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