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:__

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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.

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).

10 * 563.67 = 5636.7

  y= -3x is the required function.

step-by-step explanation:

we have been given a table:

x             y

0             0

1             -3

3             -9

-2             6

we can see that the values of y is -3 times the value of x

hence, the function would be: y= -3x.

put the values of x will give the same y as in the table that means function is satisfying the given table.