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nikklg [1K]
3 years ago
11

What is the average rate of change of the function over the interval x = 0 to x = 8?

Mathematics
1 answer:
salantis [7]3 years ago
5 0
Ans:  The average rate of change of function = \frac{1}{102} (in fraction)

Explanation:
The average rate of change of function  = \frac{f(b) - f(a)}{b - a}

Where
b = 8 (x's upper bound)
a = 0 (x's lower bound)

f(b) = f(8) =  \frac{2*8-2}{5*8-6} =  \frac{7}{17} \\ f(a) = f(0) =  \frac{2*0-2}{5*0-6} =  \frac{1}{3} \\  \frac{f(b)  - f(a)}{b-a} =  \frac{ \frac{7}{17} -  \frac{1}{3}}{8} =  \frac{1}{102}

Hence the average rate of change of function = \frac{1}{102} (in fraction)
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