更新1:
A. 1/3 B. 1/9 C. -1/3 D. -3
MATH HELP: If f(x)=4x-6/x, what is the average rate of change of f(x) over the interval [-3, 6]?
回答 (3)
2016-06-17 6:40 pm
f(x) = (x - 6)/x
The average rate of change of f(x) over the interval [-3, 6]
= [f(6) - f(-3)] / [6 - (-3)]
= [{(6 - 6)/6} - (-3 - 6)/(-3)] / [6 + 3]
= [0 - (9/3)] / 9
= -3/9
= -1/3
..... The answer is : C. -1/3
The average rate of change of f(x) over the interval [-3, 6]
= [f(6) - f(-3)] / [6 - (-3)]
= [{(6 - 6)/6} - (-3 - 6)/(-3)] / [6 + 3]
= [0 - (9/3)] / 9
= -3/9
= -1/3
..... The answer is : C. -1/3
2016-06-17 6:32 pm
anal
2016-06-17 6:26 pm
Is that (4x - 6) / x or 4x - (6/x)?
Average rate of change between 2 points is the slope between those points
You have (-3 , f(-3)) and (6 , f(6))
(f(6) - f(-3)) / (6 - (-3))
(f(6) - f(-3)) / (6 + 3)
f(6) - f(-3)) / 9
Average rate of change between 2 points is the slope between those points
You have (-3 , f(-3)) and (6 , f(6))
(f(6) - f(-3)) / (6 - (-3))
(f(6) - f(-3)) / (6 + 3)
f(6) - f(-3)) / 9
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