SOLUTION: For the function, y = 1/x-1 a) give the y values for x= -2, -1, 0, 1, 2, 3 Show your work b) Using these points, draw a curve

Algebra ->  Rational-functions -> SOLUTION: For the function, y = 1/x-1 a) give the y values for x= -2, -1, 0, 1, 2, 3 Show your work b) Using these points, draw a curve      Log On


   



Question 62969: For the function, y = 1/x-1
a) give the y values for x= -2, -1, 0, 1, 2, 3
Show your work
b) Using these points, draw a curve

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
For the function, y = 1/x-1 
a) give the y values for x= -2, -1, 0, 1, 2, 3 
Show your work 
b) Using these points, draw a curve

--------------------------------

I can't tell whether you mean

       1
y = -------
     x - 1

or whether you mean 

     1
y = --- - 1
     x

because when you type a fractional
equation all on one line you MUST
put parentheses around numerators
and denominators to show where they
start and where they end.

If your problem is

       1
y = -------
     x - 1

then 
 x | y
-------
-2 | -1/3
-1 | -1/2
 0 | -1
 1 | undefined
 2 | 1
 3 | 1/2

and the graph is this:

+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+

where the green and red vertical line 
is one asymptote and the x-axis is the 
other asymptote.  They aren't part of 
the graph itself. They are just the 
two lines that the red graph approaches 
but never quite touches.

If your problem is

     1
y = ---
     x 

then 
 x | y
-------
-2 |-3/2 = -1.5
-1 | -2
 0 | undefined
 1 |  0
 2 |-1/2 
 3 |-1/3

and the graph is this:

+graph%28+300%2C+300%2C+-2%2C+5%2C+-3.5%2C+3.5%2C+1%2Fx-1%2C+0%2C+-1%29+

where the blue horizontal line is one 
asymptote and the y-axis is the other 
asymptote.  They aren't part of the 
graph itself. They are just the two 
lines that the red graph approaches 
but never quite touches.

Edwin