Question 101133: when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! when trying to find a function you put in 2,5,4,3,and get out 4,13,10,7.
What is the function is it that I am trying to find? and what is the answer in the form of x>>something.
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That can be rearranged as follows:
x:... 2,3,.4,.5
f(x): 4,7,10,13
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Since there is a constant difference in the f(x) line you know
the eqution you are looking for is linear, i.e. y = mx+b
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So substitute two of the x,f(x) points into that linear form to get:
4 = 2m + b
13= 5m + b
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Subtract the 1st from the 2nd to get:
9 = 3m
m = 3
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Substitute that into 4 = 2m + b to solve for "b":
4 = 2*3 + b
b = -2
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So the equation you want is y = 3x -2
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Cheers,
Stan H.
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