Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1? average rate of change

Question

Please Help? For the function f(x) = 2|x – 1|, what is the average rate of change over the interval –1 ≤ x ≤ 1?
average rate of change:__

in progress 0
Euphemia 4 months 2021-09-05T04:46:21+00:00 1 Answers 2 views 0

Answers ( )

    0
    2021-09-05T04:48:08+00:00

    Answer:   -2

    ========================================================

    Explanation:

    Plug in x = -1 to find that

    f(x) = 2|x-1|

    f(-1) = 2|-1-1|

    f(-1) = 2|-2|

    f(-1) = 2*(2)

    f(-1) = 4

    If you repeat for x = 1, you should find that f(1) = 0

    ——–

    Now use the average rate of change formula below. Effectively, we’re using the slope formula more or less.

    m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(1)-f(-1)}{1-(-1)}\\\\m = \frac{0-4}{1+1}\\\\m = \frac{-4}{2}\\\\m = -2\\\\

    The average rate of change on this interval is -2

    This is the same as finding the slope through the points (-1, 4) and (1, 0).

Leave an answer

Browse

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