document.write( "Question 62969: For the function, y = 1/x-1 \r
\n" ); document.write( "\n" ); document.write( "a) give the y values for x= -2, -1, 0, 1, 2, 3
\n" ); document.write( " Show your work\r
\n" ); document.write( "\n" ); document.write( "b) Using these points, draw a curve
\n" ); document.write( "

Algebra.Com's Answer #43801 by Edwin McCravy(20064)\"\" \"About 
You can put this solution on YOUR website!
For the function, y = 1/x-1 \r\n" );
document.write( "a) give the y values for x= -2, -1, 0, 1, 2, 3 \r\n" );
document.write( "Show your work \r\n" );
document.write( "b) Using these points, draw a curve\r\n" );
document.write( "\r\n" );
document.write( "--------------------------------\r\n" );
document.write( "\r\n" );
document.write( "I can't tell whether you mean\r\n" );
document.write( "\r\n" );
document.write( "       1\r\n" );
document.write( "y = -------\r\n" );
document.write( "     x - 1\r\n" );
document.write( "\r\n" );
document.write( "or whether you mean \r\n" );
document.write( "\r\n" );
document.write( "     1\r\n" );
document.write( "y = --- - 1\r\n" );
document.write( "     x\r\n" );
document.write( "\r\n" );
document.write( "because when you type a fractional\r\n" );
document.write( "equation all on one line you MUST\r\n" );
document.write( "put parentheses around numerators\r\n" );
document.write( "and denominators to show where they\r\n" );
document.write( "start and where they end.\r\n" );
document.write( "\r\n" );
document.write( "If your problem is\r\n" );
document.write( "\r\n" );
document.write( "       1\r\n" );
document.write( "y = -------\r\n" );
document.write( "     x - 1\r\n" );
document.write( "\r\n" );
document.write( "then \r\n" );
document.write( " x | y\r\n" );
document.write( "-------\r\n" );
document.write( "-2 | -1/3\r\n" );
document.write( "-1 | -1/2\r\n" );
document.write( " 0 | -1\r\n" );
document.write( " 1 | undefined\r\n" );
document.write( " 2 | 1\r\n" );
document.write( " 3 | 1/2\r\n" );
document.write( "\r\n" );
document.write( "and the graph is this:\r\n" );
document.write( "\r\n" );
document.write( "\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-3.5%2C+3.5%2C+1%2F%28x-1%29%2C+990%28x-1%29%29+\"\r\n" );
document.write( "\r\n" );
document.write( "where the green and red vertical line \r\n" );
document.write( "is one asymptote and the x-axis is the \r\n" );
document.write( "other asymptote.  They aren't part of \r\n" );
document.write( "the graph itself. They are just the \r\n" );
document.write( "two lines that the red graph approaches \r\n" );
document.write( "but never quite touches.\r\n" );
document.write( "\r\n" );
document.write( "If your problem is\r\n" );
document.write( "\r\n" );
document.write( "     1\r\n" );
document.write( "y = ---\r\n" );
document.write( "     x \r\n" );
document.write( "\r\n" );
document.write( "then \r\n" );
document.write( " x | y\r\n" );
document.write( "-------\r\n" );
document.write( "-2 |-3/2 = -1.5\r\n" );
document.write( "-1 | -2\r\n" );
document.write( " 0 | undefined\r\n" );
document.write( " 1 |  0\r\n" );
document.write( " 2 |-1/2 \r\n" );
document.write( " 3 |-1/3\r\n" );
document.write( "\r\n" );
document.write( "and the graph is this:\r\n" );
document.write( "\r\n" );
document.write( "\"+graph%28+300%2C+300%2C+-2%2C+5%2C+-3.5%2C+3.5%2C+1%2Fx-1%2C+0%2C+-1%29+\"\r\n" );
document.write( "\r\n" );
document.write( "where the blue horizontal line is one \r\n" );
document.write( "asymptote and the y-axis is the other \r\n" );
document.write( "asymptote.  They aren't part of the \r\n" );
document.write( "graph itself. They are just the two \r\n" );
document.write( "lines that the red graph approaches \r\n" );
document.write( "but never quite touches.\r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );