document.write( "Question 87141: For function y=1/x-2
\n" ); document.write( "Give the y values for x =-1,0,1,2,3,4.
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Algebra.Com's Answer #63147 by jim_thompson5910(35256) $\"\"$ $\"About$

You can put this solution on YOUR website!
In order to graph $\"y=1%2F%28x-2%29\"$ , we need to plot some points.
\n" ); document.write( " So we can start at any x value. So lets start at x=-1
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\n" ); document.write( "\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28%28-1%29-2%29\"$ Plug in $\"x=-1\"$
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\n" ); document.write( " $\"1%2F%28%28-1%29-2%29=-0.333333333333333\"$ Calculate the y value by following the order of operations\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=-1\"$ $\"y=-0.333333333333333\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 1st point is (-1,-0.333333333333333)\r
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\n" ); document.write( "\n" ); document.write( "Now lets find another point
\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28%280%29-2%29\"$ Plug in $\"x=0\"$
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\n" ); document.write( " $\"1%2F%28%280%29-2%29=-0.5\"$ Calculate the y value by following the order of operations\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=0\"$ $\"y=-0.5\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 2nd point is (0,-0.5)\r
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\n" ); document.write( "\n" ); document.write( "Now lets find another point
\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28%281%29-2%29\"$ Plug in $\"x=1\"$
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\n" ); document.write( " $\"1%2F%28%281%29-2%29=-1\"$ Calculate the y value by following the order of operations\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=1\"$ $\"y=-1\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 3rd point is (1,-1)\r
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\n" ); document.write( "\n" ); document.write( "Now lets find another point
\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28x-2%29=1%2F0\"$ Plug in $\"x=2\"$
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\n" ); document.write( "Since we cannot divide by zero, the y value is undefined
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\n" ); document.write( "Now lets find another point
\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28%283%29-2%29\"$ Plug in $\"x=3\"$
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\n" ); document.write( " $\"1%2F%28%283%29-2%29=1\"$ Calculate the y value by following the order of operations\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=3\"$ $\"y=1\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 5th point is (3,1)\r
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\n" ); document.write( "\n" ); document.write( "Now lets find another point
\n" ); document.write( " $\"y=1%2F%28x-2%29\"$ Start with the given equation
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\n" ); document.write( " $\"y=1%2F%28%284%29-2%29\"$ Plug in $\"x=4\"$
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\n" ); document.write( " $\"1%2F%28%284%29-2%29=0.5\"$ Calculate the y value by following the order of operations\r
\n" ); document.write( "\n" ); document.write( "So when $\"x=4\"$ $\"y=0.5\"$ \r
\n" ); document.write( "\n" ); document.write( "So our 6th point is (4,0.5)\r
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\n" ); document.write( "\n" ); document.write( "Now lets make a table of the values we have calculated\r
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document.write( " x y
 -1 -0.333333333333333
 0 -0.5
 1 -1
 2 Undefined
 3 1
 4 0.5\r\n" );
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Now plot the points\r
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\n" ); document.write( "\n" ); document.write( "Now connect the points, this is the graph of $\"y=1%2F%28x-2%29\"$ (note: the more points you have, the better it is to see the shape of the graph)\r
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