Question 63810: This question has been answered before. I need an explanation or the steps done to find out the answer.
The question was....
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: 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
The answer was....
If your problem is
y = 1/(x-1)
then
x | y
-------
-2 | -1/3
-1 | -1/2
0 | -1
1 | undefined
2 | 1
3 | 1/2
Answer by mszlmb(115)   (Show Source):
You can put this solution on YOUR website! The answers are indeed correct, and following is the explanation:
y=1/(x-1)
To find Y when X is a number, the number which X is must replace X.
If X=5 then knowing
y=1/(x-1)
we can replace x with its equivalent, 5:
y=1/(x-1) turns into
y=1/(5-1) , whereupon we can solve:
y=1/(4)
.: y=1/4
The steps are
1.Substitute
2.Evaluate ☻
Our X values are: -2, -1, 0, 1, 2, 3
Here goes:
x=-2
y=1/(x-1) substitute
y=1/(-2-1) evaluate
y=1/(-3)
y=-1/3
This gives us the point (-2,-1/3)
x=-1
y=1/(x-1) substitute
y=1/(-1-1) evaluate
y=1/(-2)
y=-1/2
This gives us the point (-1,-1/2)
x=0
y=1/(x-1) substitute
y=1/(0-1) evaluate
y=1/(-1)
y=-1/1
This gives us the point (0,-1)
x=1
y=1/(x-1) substitute
y=1/(1-1) evaluate
y=1/0
y is undefined [mathematicians say you can't divide by zero]
This gives us the point (1, null [or undefined])
x=2
y=1/(x-1) substitute
y=1/(2-1) evaluate
y=1/1
y=1
This gives us the point (2,1)
We now have the points (-2,-1/3), (-1,-1/2), (0,-1), (1, null), and (2,1). Let us plot these to obtain:
..And then to draw the curve just connect the dots, EMAIL or IM for questions ☺
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