SOLUTION: This is my problem.How do I graph this? Graph f(x) = –x – 2.

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Question 84497: This is my problem.How do I graph this?
Graph f(x) = –x – 2.
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph -x-2, we need to plot some points.
So we can start at any x value. So lets start at x=-5

f%28x%29=-x-2 Start with the given equation

f%28-5%29=-%28-5%29-2 Plug in x=-5

f%28-5%29=-%28-5%29-2=3 Calculate the f(x) value
So when x=-5 f%28x%29=3
So our 1st point is (-5,3)




f%28x%29=-x-2 Start with the given equation

f%28-4%29=-%28-4%29-2 Plug in x=-4

f%28-4%29=-%28-4%29-2=2 Calculate the f(x) value
So when x=-4 f%28x%29=2
So our 2nd point is (-4,2)




f%28x%29=-x-2 Start with the given equation

f%28-3%29=-%28-3%29-2 Plug in x=-3

f%28-3%29=-%28-3%29-2=1 Calculate the f(x) value
So when x=-3 f%28x%29=1
So our 3rd point is (-3,1)




f%28x%29=-x-2 Start with the given equation

f%28-2%29=-%28-2%29-2 Plug in x=-2

f%28-2%29=-%28-2%29-2=0 Calculate the f(x) value
So when x=-2 f%28x%29=0
So our 4th point is (-2,0)




f%28x%29=-x-2 Start with the given equation

f%28-1%29=-%28-1%29-2 Plug in x=-1

f%28-1%29=-%28-1%29-2=-1 Calculate the f(x) value
So when x=-1 f%28x%29=-1
So our 5th point is (-1,-1)




f%28x%29=-x-2 Start with the given equation

f%280%29=-%280%29-2 Plug in x=0

f%280%29=-%280%29-2=-2 Calculate the f(x) value
So when x=0 f%28x%29=-2
So our 6th point is (0,-2)




f%28x%29=-x-2 Start with the given equation

f%281%29=-%281%29-2 Plug in x=1

f%281%29=-%281%29-2=-3 Calculate the f(x) value
So when x=1 f%28x%29=-3
So our 7th point is (1,-3)




f%28x%29=-x-2 Start with the given equation

f%282%29=-%282%29-2 Plug in x=2

f%282%29=-%282%29-2=-4 Calculate the f(x) value
So when x=2 f%28x%29=-4
So our 8th point is (2,-4)




f%28x%29=-x-2 Start with the given equation

f%283%29=-%283%29-2 Plug in x=3

f%283%29=-%283%29-2=-5 Calculate the f(x) value
So when x=3 f%28x%29=-5
So our 9th point is (3,-5)




f%28x%29=-x-2 Start with the given equation

f%284%29=-%284%29-2 Plug in x=4

f%284%29=-%284%29-2=-6 Calculate the f(x) value
So when x=4 f%28x%29=-6
So our 10th point is (4,-6)




f%28x%29=-x-2 Start with the given equation

f%285%29=-%285%29-2 Plug in x=5

f%285%29=-%285%29-2=-7 Calculate the f(x) value
So when x=5 f%28x%29=-7
So our 11th point is (5,-7)






Now lets make a table of the values we have calculated 



 xy



 -53
 

 -42
 

 -31
 

 -20
 

 -1-1
 

 0-2
 

 1-3
 

 2-4
 

 3-5
 

 4-6
 

 5-7
Now plot the points
drawing%28+900%2C+900%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2Ccircle%28-5%2C3%2C0.05%29%2C+%0D%0A++circle%28-5%2C3%2C0.08%29%2C+%0D%0Acircle%28-4%2C2%2C0.05%29%2C+%0D%0A++circle%28-4%2C2%2C0.08%29%2C+%0D%0Acircle%28-3%2C1%2C0.05%29%2C+%0D%0A++circle%28-3%2C1%2C0.08%29%2C+%0D%0Acircle%28-2%2C0%2C0.05%29%2C+%0D%0A++circle%28-2%2C0%2C0.08%29%2C+%0D%0Acircle%28-1%2C-1%2C0.05%29%2C+%0D%0A++circle%28-1%2C-1%2C0.08%29%2C+%0D%0Acircle%280%2C-2%2C0.05%29%2C+%0D%0A++circle%280%2C-2%2C0.08%29%2C+%0D%0Acircle%281%2C-3%2C0.05%29%2C+%0D%0A++circle%281%2C-3%2C0.08%29%2C+%0D%0Acircle%282%2C-4%2C0.05%29%2C+%0D%0A++circle%282%2C-4%2C0.08%29%2C+%0D%0Acircle%283%2C-5%2C0.05%29%2C+%0D%0A++circle%283%2C-5%2C0.08%29%2C+%0D%0Acircle%284%2C-6%2C0.05%29%2C+%0D%0A++circle%284%2C-6%2C0.08%29%2C+%0D%0Acircle%285%2C-7%2C0.05%29%2C+%0D%0A++circle%285%2C-7%2C0.08%29+%0D%0A%29
Now connect the points, this is the graph of -x-2
drawing%28+900%2C+900%2C+-10%2C+10%2C+-10%2C+10%2C%0D%0A++grid%28+1+%29%2C%0D%0A++graph%28+900%2C+900%2C-10%2C+10%2C+-10%2C+10%2C+-x-2%29%2Ccircle%28-5%2C3%2C0.05%29%2C+%0D%0A++circle%28-5%2C3%2C0.08%29%2C+%0D%0Acircle%28-4%2C2%2C0.05%29%2C+%0D%0A++circle%28-4%2C2%2C0.08%29%2C+%0D%0Acircle%28-3%2C1%2C0.05%29%2C+%0D%0A++circle%28-3%2C1%2C0.08%29%2C+%0D%0Acircle%28-2%2C0%2C0.05%29%2C+%0D%0A++circle%28-2%2C0%2C0.08%29%2C+%0D%0Acircle%28-1%2C-1%2C0.05%29%2C+%0D%0A++circle%28-1%2C-1%2C0.08%29%2C+%0D%0Acircle%280%2C-2%2C0.05%29%2C+%0D%0A++circle%280%2C-2%2C0.08%29%2C+%0D%0Acircle%281%2C-3%2C0.05%29%2C+%0D%0A++circle%281%2C-3%2C0.08%29%2C+%0D%0Acircle%282%2C-4%2C0.05%29%2C+%0D%0A++circle%282%2C-4%2C0.08%29%2C+%0D%0Acircle%283%2C-5%2C0.05%29%2C+%0D%0A++circle%283%2C-5%2C0.08%29%2C+%0D%0Acircle%284%2C-6%2C0.05%29%2C+%0D%0A++circle%284%2C-6%2C0.08%29%2C+%0D%0Acircle%285%2C-7%2C0.05%29%2C+%0D%0A++circle%285%2C-7%2C0.08%29+%0D%0A%29