If a function is continuous on a closed interval [a, b], there exists a point, c, inside the interval such that:

1. Find the value of c, the average function value, of the function f(x) = 3x² on the interval [−4, −1].

Since the function is continuous on the interval [−4, −1], the average function value can be applied.

The positive solution is not valid because it does not belong to the interval.

2. Is the average function value applicable to the following function in the interval [0, 1]?

Since the function is continuous on the interval [0, 1], the average function value is applicable and can be applied.


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I am passionate about travelling and currently live and work in Paris. I like to spend my time reading, gardening, running, learning languages and exploring new places.

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