algebra 1

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f(x) = 10(2)^x

Is this function's rate of change over the interval -1 ≤ x ≤ 2 greater or less than that of the linear function g(x)=10x + 7?

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What is this problem asking me to do and how do I do it?

  • algebra 1 -

    I would interpret it this way,

    Average rate of change for first function:
    f(-1) = 10(1/2) = 5
    f(2) = 10(2^2) = 40
    avg rate of change = (40 - 5)/(2-(-1)) = 35/3 or appr 11.666...

    rate of change of second function y = 10x+7 is constant at 10

    so what do you think?

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