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

Algebra ->  Equations -> 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      Log On


   

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) About Me  (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%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+%281%2Fx%29+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = (1/x) -2).

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph y=1%2F%28x-2%29, we need to plot some points.
So we can start at any x value. So lets start at x=-1

y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28%28-1%29-2%29 Plug in x=-1

1%2F%28%28-1%29-2%29=-0.333333333333333 Calculate the y value by following the order of operations
So when x=-1 y=-0.333333333333333
So our 1st point is (-1,-0.333333333333333)




Now lets find another point
y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28%280%29-2%29 Plug in x=0

1%2F%28%280%29-2%29=-0.5 Calculate the y value by following the order of operations
So when x=0 y=-0.5
So our 2nd point is (0,-0.5)




Now lets find another point
y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28%281%29-2%29 Plug in x=1

1%2F%28%281%29-2%29=-1 Calculate the y value by following the order of operations
So when x=1 y=-1
So our 3rd point is (1,-1)




Now lets find another point
y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28x-2%29=1%2F0 Plug in x=2

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




Now lets find another point
y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28%283%29-2%29 Plug in x=3

1%2F%28%283%29-2%29=1 Calculate the y value by following the order of operations
So when x=3 y=1
So our 5th point is (3,1)




Now lets find another point
y=1%2F%28x-2%29 Start with the given equation

y=1%2F%28%284%29-2%29 Plug in x=4

1%2F%28%284%29-2%29=0.5 Calculate the y value by following the order of operations
So when x=4 y=0.5
So our 6th point is (4,0.5)






Now lets make a table of the values we have calculated 



 xy



 -1-0.333333333333333
 

 0-0.5
 

 1-1
 

 2Undefined
 

 31
 

 40.5
Now plot the points

Now connect the points, this is the graph of y=1%2F%28x-2%29 (note: the more points you have, the better it is to see the shape of the graph)