document.write( "Question 1072957: help me to sketch this graph, f(x)= 6/x \n" ); document.write( "

Algebra.Com's Answer #687811 by KMST(5328) $\"\"$ $\"About$

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It is a hyperbola with the x- and y-axes for asymptotes.
\n" ); document.write( "It has one branch in the first quadrant, with points
\n" ); document.write( "(1,6), (2,3), (3,2), and (6,1).
\n" ); document.write( "To get coordinates of points,
\n" ); document.write( "you can choose x values and find the corresponding y values.
\n" ); document.write( "To either side of those points, the curve aims to \"hug\",
\n" ); document.write( "but not cross the x- and y-axes.
\n" ); document.write( "The other branch is in the third quadrant.
\n" ); document.write( "Points in that branch have coordinates like those
\n" ); document.write( "in the first quadrant, but all with a minus sign:
\n" ); document.write( "(-1,-6), (-2,-3), and so on.
\n" ); document.write( " $\"graph%28300%2C300%2C-10%2C10%2C-10%2C10%2C6%2Fx%29\"$ \n" ); document.write( "

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