SOLUTION: help me to sketch this graph, f(x)= 6/x
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Question 1072957: help me to sketch this graph, f(x)= 6/x
Found 2 solutions by Fombitz, KMST:
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There is a singularity at so choose points around it.
Find the y value by plugging into the equation.
Plot the points, draw the curve.
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Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
It is a hyperbola with the x- and y-axes for asymptotes.
It has one branch in the first quadrant, with points
(1,6), (2,3), (3,2), and (6,1).
To get coordinates of points,
you can choose x values and find the corresponding y values.
To either side of those points, the curve aims to "hug",
but not cross the x- and y-axes.
The other branch is in the third quadrant.
Points in that branch have coordinates like those
in the first quadrant, but all with a minus sign:
(-1,-6), (-2,-3), and so on.
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