# math

x: -2,-1, 0, 1, 2
-------------------
y: 9, 4,-1,-6,-11

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1. 1) Draw the function on a piece of paper
It is a linear function, is not it?
So, the function will have the form:
y = ax+b
where a and b- coefficients

2) look at the value of the function at x=0, it is -1:
-1=a*0+b
b=-1

3) if you move b on the left side, you will get direct dependence of new y on x:
y+1=ax
and since you know the values of the function:
x: -2,-1, 0, 1, 2
-------------------
y-1: 10, 5,0,-5,-10

now it is easy:
y(-2)=10b
b=-5

or
y(-1)=5b
b=-1

4) So, finally you get y = -5x-1

Another way to find the function is to to paste the values into excel :D

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posted by Duran
2. Ouch, there is a small typo in the previous message. Here is the correct one:

1) Draw the function on a piece of paper
It is a linear function, is not it?
So, the function will have the form:
y = ax+b
where a and b- coefficients

2) look at the value of the function at x=0, it is -1:
-1=a*0+b
b=-1

3) if you move b on the left side, you will get direct dependence of new y on x:
y+1=ax
and since you know the values of the function:
x: -2,-1, 0, 1, 2
-------------------
y-1: 10, 5,0,-5,-10

now it is easy:
y(-2)=10=-2*a
a=-5

4) So, finally you get y = -5x-1

Another way to find the function is to paste the values into excel :D

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2. 👎 0
posted by Duran

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