Final answer:
To find a point satisfying the conclusion of the mean value theorem, you need to find a function that satisfies the given conditions and calculate its derivative to find the point where the derivative is equal to the average rate of change.
Step-by-step explanation:
The question asks to find a point satisfying the conclusion of the mean value theorem for the function on the interval. The mean value theorem states that if a function is continuous on a closed interval [a, b] and differentiable on the open interval (a, b), then there exists at least one point c in (a, b) where the derivative of the function at c is equal to the average rate of change of the function on the interval [a, b]. So, to find a point satisfying the conclusion of the mean value theorem, you need to find a function that satisfies the given conditions and calculate its derivative to find the point where the derivative is equal to the average rate of change.