Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

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Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

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King 4 years 2021-09-03T12:17:54+00:00 1 Answers 5 views 0

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  1. Sapo1
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    2021-09-03T12:18:55+00:00
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    Answer:

    The average rate of change of the function over the interval is 5.

    Step-by-step explanation:

    Average rate of change of a function:

    The average rate of change of a function f(x) over an interval [a,b] is given by:

    A = \frac{f(b)-f(a)}{b-a}

    Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

    This means that a = -3, b = 3

    f(x) = x^2 + 3x + 6

    So

    f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24

    f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6

    Average rate of change

    A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5

    The average rate of change of the function over the interval is 5.

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )