SOLUTION: This is my problem.How do I graph this? Graph f(x) = 4x + 1.

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Question 84496: This is my problem.How do I graph this?
Graph f(x) = 4x + 1.

Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!
In order to graph 4x%2B1, we need to plot some points.
So we can start at any x value. So lets start at x=-5

f%28x%29=4x%2B1 Start with the given equation

f%28-5%29=4%28-5%29%2B1 Plug in x=-5

f%28-5%29=4%28-5%29%2B1=-19 Calculate the f(x) value
So when x=-5 f%28x%29=-19
So our 1st point is (-5,-19)




f%28x%29=4x%2B1 Start with the given equation

f%28-4%29=4%28-4%29%2B1 Plug in x=-4

f%28-4%29=4%28-4%29%2B1=-15 Calculate the f(x) value
So when x=-4 f%28x%29=-15
So our 2nd point is (-4,-15)




f%28x%29=4x%2B1 Start with the given equation

f%28-3%29=4%28-3%29%2B1 Plug in x=-3

f%28-3%29=4%28-3%29%2B1=-11 Calculate the f(x) value
So when x=-3 f%28x%29=-11
So our 3rd point is (-3,-11)




f%28x%29=4x%2B1 Start with the given equation

f%28-2%29=4%28-2%29%2B1 Plug in x=-2

f%28-2%29=4%28-2%29%2B1=-7 Calculate the f(x) value
So when x=-2 f%28x%29=-7
So our 4th point is (-2,-7)




f%28x%29=4x%2B1 Start with the given equation

f%28-1%29=4%28-1%29%2B1 Plug in x=-1

f%28-1%29=4%28-1%29%2B1=-3 Calculate the f(x) value
So when x=-1 f%28x%29=-3
So our 5th point is (-1,-3)




f%28x%29=4x%2B1 Start with the given equation

f%280%29=4%280%29%2B1 Plug in x=0

f%280%29=4%280%29%2B1=1 Calculate the f(x) value
So when x=0 f%28x%29=1
So our 6th point is (0,1)




f%28x%29=4x%2B1 Start with the given equation

f%281%29=4%281%29%2B1 Plug in x=1

f%281%29=4%281%29%2B1=5 Calculate the f(x) value
So when x=1 f%28x%29=5
So our 7th point is (1,5)




f%28x%29=4x%2B1 Start with the given equation

f%282%29=4%282%29%2B1 Plug in x=2

f%282%29=4%282%29%2B1=9 Calculate the f(x) value
So when x=2 f%28x%29=9
So our 8th point is (2,9)




f%28x%29=4x%2B1 Start with the given equation

f%283%29=4%283%29%2B1 Plug in x=3

f%283%29=4%283%29%2B1=13 Calculate the f(x) value
So when x=3 f%28x%29=13
So our 9th point is (3,13)




f%28x%29=4x%2B1 Start with the given equation

f%284%29=4%284%29%2B1 Plug in x=4

f%284%29=4%284%29%2B1=17 Calculate the f(x) value
So when x=4 f%28x%29=17
So our 10th point is (4,17)




f%28x%29=4x%2B1 Start with the given equation

f%285%29=4%285%29%2B1 Plug in x=5

f%285%29=4%285%29%2B1=21 Calculate the f(x) value
So when x=5 f%28x%29=21
So our 11th point is (5,21)






Now lets make a table of the values we have calculated 



 xy



 -5-19
 

 -4-15
 

 -3-11
 

 -2-7
 

 -1-3
 

 01
 

 15
 

 29
 

 313
 

 417
 

 521
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%2C-19%2C0.05%29%2C+%0D%0A++circle%28-5%2C-19%2C0.08%29%2C+%0D%0Acircle%28-4%2C-15%2C0.05%29%2C+%0D%0A++circle%28-4%2C-15%2C0.08%29%2C+%0D%0Acircle%28-3%2C-11%2C0.05%29%2C+%0D%0A++circle%28-3%2C-11%2C0.08%29%2C+%0D%0Acircle%28-2%2C-7%2C0.05%29%2C+%0D%0A++circle%28-2%2C-7%2C0.08%29%2C+%0D%0Acircle%28-1%2C-3%2C0.05%29%2C+%0D%0A++circle%28-1%2C-3%2C0.08%29%2C+%0D%0Acircle%280%2C1%2C0.05%29%2C+%0D%0A++circle%280%2C1%2C0.08%29%2C+%0D%0Acircle%281%2C5%2C0.05%29%2C+%0D%0A++circle%281%2C5%2C0.08%29%2C+%0D%0Acircle%282%2C9%2C0.05%29%2C+%0D%0A++circle%282%2C9%2C0.08%29%2C+%0D%0Acircle%283%2C13%2C0.05%29%2C+%0D%0A++circle%283%2C13%2C0.08%29%2C+%0D%0Acircle%284%2C17%2C0.05%29%2C+%0D%0A++circle%284%2C17%2C0.08%29%2C+%0D%0Acircle%285%2C21%2C0.05%29%2C+%0D%0A++circle%285%2C21%2C0.08%29+%0D%0A%29
Now connect the points, this is the graph of 4x%2B1
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+4x%2B1%29%2Ccircle%28-5%2C-19%2C0.05%29%2C+%0D%0A++circle%28-5%2C-19%2C0.08%29%2C+%0D%0Acircle%28-4%2C-15%2C0.05%29%2C+%0D%0A++circle%28-4%2C-15%2C0.08%29%2C+%0D%0Acircle%28-3%2C-11%2C0.05%29%2C+%0D%0A++circle%28-3%2C-11%2C0.08%29%2C+%0D%0Acircle%28-2%2C-7%2C0.05%29%2C+%0D%0A++circle%28-2%2C-7%2C0.08%29%2C+%0D%0Acircle%28-1%2C-3%2C0.05%29%2C+%0D%0A++circle%28-1%2C-3%2C0.08%29%2C+%0D%0Acircle%280%2C1%2C0.05%29%2C+%0D%0A++circle%280%2C1%2C0.08%29%2C+%0D%0Acircle%281%2C5%2C0.05%29%2C+%0D%0A++circle%281%2C5%2C0.08%29%2C+%0D%0Acircle%282%2C9%2C0.05%29%2C+%0D%0A++circle%282%2C9%2C0.08%29%2C+%0D%0Acircle%283%2C13%2C0.05%29%2C+%0D%0A++circle%283%2C13%2C0.08%29%2C+%0D%0Acircle%284%2C17%2C0.05%29%2C+%0D%0A++circle%284%2C17%2C0.08%29%2C+%0D%0Acircle%285%2C21%2C0.05%29%2C+%0D%0A++circle%285%2C21%2C0.08%29+%0D%0A%29