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Adifferentiable function f with best possible bounds -1

Question: 1. An interval where the best possible bounds for f(x) = x² are 2 ≤ f(x) ≤ 5.

2. A differentiable function f with best possible bounds -1 ≤ f(x) ≤ 1 on the interval -4 ≤ x ≤ 4.

3. The sum of two nonnegative numbers is 100. What is the maximum value of the product of these two numbers?

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Mathematics: Adifferentiable function f with best possible bounds -1

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