Question 1082080: graph of the fuction x^2/(1-x)
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Table of values
| x | y |
|---|
| -5 | 4.16667 | | -4 | 3.2 | | -3 | 2.25 | | -2 | 1.33333 | | -1 | 0.5 | | 0 | 0 | | 1 | UND | | 2 | -4 | | 3 | -4.5 | | 4 | -5.33333 | | 5 | -6.25 |
Each y value is found by plugging in the corresponding x value. For example, if we plug in x = 3, then  giving the pairing (x,y) = (3,-4.5). The rest of the y values are generated in a similar way.
Warning: x = 1 is not allowed since the denominator would turn into 1-x = 1-1 = 0 leading to a division by zero error. The "UND" in the table stands for "Undefined"
Each (x,y) value is then plotted on the same grid and you draw a curve through all the points. In this case, there's two separate pieces that don't join.
From the table shown above, we have these ordered pairs
A = (-5, 4.16667)
B = (-4, 3.2)
C = (-3, 2.25)
D = (-2, 1.33333)
E = (-1, 0.5)
F = (0, 0)
G = (2, -4)
H = (3, -4.5)
I = (4, -5.33333)
J = (5, -6.25)
Take note of the labeling of each point and how it corresponds to the image below
Image generated by GeoGebra (free graphing software).
I recommend using graphing software or a graphing calculator so you can see the basic shape of this curve.
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