math

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

find the function rule. please??

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asked by aaron
  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

    1. 👍 0
    2. 👎 0
    posted by Duran

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