SOLUTION: For function y=1/x-2 Give the y values for x =-1,0,1,2,3,4. Show work Using these points, draw a curve. Show Graph

Question 87141: For function y=1/x-2
Give the y values for x =-1,0,1,2,3,4.
Show work
Using these points, draw a curve. Show Graph
Found 2 solutions by checkley75, jim_thompson5910:
Answer by checkley75(3666) (Show Source): You can put this solution on YOUR website!
X=-1 THEN Y=1/-1-2, Y=-1-2, Y=-3
X=0, THEN Y=1/0-2, Y=-2
Y=1, THEN Y=1/1-2, Y=-1
Y=2, THEN Y=1/2-2, Y=-1.5
X=3, THEN Y=1/3-2, Y=5/3
X=4, THEN Y=1/4-2, Y=-1.75
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = (1/x) -2).
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
In order to graph , we need to plot some points.
So we can start at any x value. So lets start at x=-1

Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when
So our 1st point is (-1,-0.333333333333333)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when
So our 2nd point is (0,-0.5)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when
So our 3rd point is (1,-1)

Now lets find another point
Start with the given equation

Plug in

Since we cannot divide by zero, the y value is undefined

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when
So our 5th point is (3,1)

Now lets find another point
Start with the given equation

Plug in

Calculate the y value by following the order of operations
So when
So our 6th point is (4,0.5)

Now lets make a table of the values we have calculated

x y

-1 -0.333333333333333

0 -0.5

1 -1

2 Undefined

3 1

4 0.5

Now plot the points

Now connect the points, this is the graph of (note: the more points you have, the better it is to see the shape of the graph)

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