Rate of change?

Find the average rate of change between the points f(370) and f(-20) given that f(x)=5x^7+e^.5x+x^3

2 Answers

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  • Average rate of change between two points is the same as saying, "Slope between 2 points."  The idea is to reinforce what the slope between 2 points is measuring.

    (f(370) - f(-20)) / (370 - (-20)) =>

    (5 * (370^7 - (-20)^7) + (e^(0.5 * 370) - e^(0.5 * (-20))) + (370^3 - (-20)^3))) / 390

    It's going to look like hell, because e^(185) is essentially 10^80, and the other values pale in comparison to it.  The answer is pretty close to 5 * 10^77

    https://www.wolframalpha.com/input/?i=%285+*+%2837...

  • rotchm
    Lv 7
    3 weeks ago

    Evaluate f(370). What do you get?

    Ditto for f(-20).

    Then evaluate (f(370) - f(-20))/(370 - -20).

    Done!

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