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how do I write a rule for this function?

x: -4, 0, 2, 4
f(x): 4, 6, 7, 8

  • Math -

    slope = (8-4)/(4--4) = 4/8 = 1/2
    It is constant for all points
    so
    y = .5 x + b
    8 = .5(4) + b
    6 = b
    so
    y = .5 x + 6

    check that for all points like (-4,4)
    4 = (.5)(-4) + 6 ???
    4 = -2 + 6
    4 = 4 sure enough

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