Mathematics: 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:__

5/9All you have to do is notice that 5 is a common factor of both 25 and 45. Divide both numbers by 5 and you get 5/9....

Please Help? For the function f(x) = 2|x – 1|,

tremainewoodley3030

18.07.2021

-2

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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

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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).

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