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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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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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Mathematics
4 years
2021-09-05T04:46:21+00:00
2021-09-05T04:46:21+00:00 1 Answers
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Answer: -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
——–
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).