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liraira [26]
3 years ago
15

Find the average rate of change of f(x) = 1x + 6 on [4,9). Round your answer to the nearest hundredth.

Mathematics
1 answer:
olga2289 [7]3 years ago
6 0

Answer:

The average rate of change of f(x) = x + 6 on [4,9) is 1.

Step-by-step explanation:

Given a function y, the average rate of change S of y=f(x) in an interval (x_{s}, x_{f}) will be given by the following equation:

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}}

In this problem, we have that:

f(x) = x + 6

Interval [4,9]

Continuous function(no denominator or even root), this is why i can consider 9 a part of the interval for the calculation. So

x_{s} = 4, x_{f} = 9, f(x_{s}) = f(4) = 10, f(x_{f}}) = f(9) = 15.

So

S = \frac{f(x_{f}) - f(x_{s})}{x_{f} - x_{s}} = \frac{15 - 10}{9 - 4} = 1

The average rate of change of f(x) = x + 6 on [4,9) is 1.

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