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Math Help - [SOLVED] Find the average rate of change

  1. #1
    Junior Member moonman's Avatar
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    [SOLVED] Find the average rate of change

    Find the average rate of change for: f(x) = x^2 - 3x + 5
    a) [2 , 4]
    b) [a , a + h]
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  2. #2
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    \frac{f(4) - f(2)}{4 - 2}<br />

    \frac{f(a+h) - f(a)}{(a+h) - a}

    work them out.
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  3. #3
    Junior Member moonman's Avatar
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    For a) I have: -8

    For b) I have: h^2 + 2ah - 6a + 3h - 10 / 2

    Is this correct?
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  4. #4
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    f(4) = 4^2 - 3(4) + 5 = 9

     <br />
f(2) = 2^2 - 3(2) + 5 = 3<br />

    \frac{f(4) - f(2)}{4 - 2} = \frac{9 - 3}{4 - 2} = \, ?



     <br />
f(a+h) = (a+h)^2 - 3(a+h) + 5 = a^2 + 2ah + h^2 - 3a - 3h + 5<br />

     <br />
f(a) = a^2 - 3(a) + 5 = a^2 - 3a + 5<br />

    \frac{f(a+h) - f(a)}{(a+h) - a} = \frac{2ah + h^2 - 3h}{h} = \, ?

    work on your algebra.
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  5. #5
    Junior Member moonman's Avatar
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    Quote Originally Posted by skeeter View Post
    f(4) = 4^2 - 3(4) + 5 = 9

     <br />
f(2) = 2^2 - 3(2) + 5 = 3<br />

    \frac{f(4) - f(2)}{4 - 2} = \frac{9 - 3}{4 - 2} = \, ?



     <br />
f(a+h) = (a+h)^2 - 3(a+h) + 5 = a^2 + 2ah + h^2 - 3a - 3h + 5<br />

     <br />
f(a) = a^2 - 3(a) + 5 = a^2 - 3a + 5<br />

    \frac{f(a+h) - f(a)}{(a+h) - a} = \frac{2ah + h^2 - 3h}{h} = \, ?

    work on your algebra.
    hehehe yes I need to.
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