<h3>
Answer: -2</h3>
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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\\\\](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7Bf%28b%29-f%28a%29%7D%7Bb-a%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7Bf%281%29-f%28-1%29%7D%7B1-%28-1%29%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B0-4%7D%7B1%2B1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-4%7D%7B2%7D%5C%5C%5C%5Cm%20%3D%20-2%5C%5C%5C%5C)
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).
Answer:
I think it's sit and reach sorry if I'm wrong
If the exponent is positive then you move the decimal to the right to make the number bigger. If the exponent is negative then you move the decimal to the left to make the number smaller.