Question 63810
The answers are indeed correct, and following is the explanation:<br>

y=1/(x-1)
To find Y when X is a number, the number which X is must replace X.<br>

If <font color=red>X=5</font> then knowing
y=1/(x-1)
we can replace x with its equivalent, 5:
y=1/(<font color=red>x</font>-1) turns into
y=1/(<font color=green>5</font>-1)  , whereupon we can solve:
y=1/(4)<br>

.: y=1/4<br>

The steps are 
1.Substitute
2.Evaluate  &#9787;<br>

Our X values are: -2, -1, 0, 1, 2, 3<br>

Here goes:<br>

x=-2
y=1/(<font color=red>x</font>-1)        substitute
y=1/(<font color=green>-2</font>-1)      evaluate
y=1/(-3)
y=-1/3
This gives us the point (-2,-1/3)<br>

x=-1
y=1/(<font color=red>x</font>-1)        substitute
y=1/(<font color=green>-1</font>-1)      evaluate
y=1/(-2)
y=-1/2
This gives us the point (-1,-1/2)<br>

x=0
y=1/(<font color=red>x</font>-1)        substitute
y=1/(<font color=green>0</font>-1)      evaluate
y=1/(-1)
y=-1/1
This gives us the point (0,-1)<br>

x=1
y=1/(<font color=red>x</font>-1)        substitute
y=1/(<font color=green>1</font>-1)      evaluate
y=1/0
y is undefined [mathematicians say you can't divide by zero]
This gives us the point (1, null [or undefined])<br>

x=2
y=1/(<font color=red>x</font>-1)        substitute
y=1/(<font color=green>2</font>-1)      evaluate
y=1/1
y=1
This gives us the point (2,1)<br>

We now have the points (-2,-1/3), (-1,-1/2), (0,-1), (1, null), and (2,1).  Let us plot these to obtain:<br>

{{{drawing( 300, 300, -5, 5, -5, 5,
  grid( 1 ),
  blue(circle( -2,-1/3, .1 )),
  blue(circle( -1,-1/2, .1 )), 
  blue(circle( 0,-1,.1)),
  blue(circle( 2,1, .1 ))
)}}}<br>

..And then to draw the curve just connect the dots, EMAIL or IM for questions &#9786;