document.write( "Question 674335: graph this function g(x)=log2of(x+1) \n" ); document.write( "

Algebra.Com's Answer #419180 by Theo(13342) $\"\"$ $\"About$

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$\"graph%28600%2C600%2C-2%2C9%2C-9%2C4%2Clog%282%2Cx%2B1%29%29\"$
\n" ); document.write( "i appears there's a vertical asymptote at x = -1.
\n" ); document.write( "the following table helps show that.
\n" ); document.write( "

\r\n" );
document.write( "x	y = log(2,x+1)\r\n" );
document.write( "-2	#NUM!\r\n" );
document.write( "-1	#NUM!\r\n" );
document.write( "-0.9999	-16.60964047\r\n" );
document.write( "-0.9	-3.321928095\r\n" );
document.write( "-0.8	-2.321928095\r\n" );
document.write( "-0.7	-1.736965594\r\n" );
document.write( "-0.6	-1.321928095\r\n" );
document.write( "-0.5	-1\r\n" );
document.write( "0	0\r\n" );
document.write( "1	1\r\n" );
document.write( "2	1.584962501\r\n" );
document.write( "3	2\r\n" );
document.write( "4	2.321928095\r\n" );
document.write( "5	2.584962501\r\n" );
document.write( "6	2.807354922\r\n" );
document.write( "7	3\r\n" );
document.write( "8	3.169925001\r\n" );
document.write( "9	3.321928095\r\n" );
document.write( "

\n" ); document.write( "you cannot take a log of a negative number of or 0.
\n" ); document.write( "that is why the first 2 values in the table are invalid.
\n" ); document.write( "that is why the graph stops as just to the right of x -1
\n" ); document.write( "log (x+1) will be log(0) when x is equal to -1.\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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