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Suppose f(x) is a differentiable function such that f(2)=3 and f'(x) is less than or equal...

Suppose f(x) is a differentiable function such that f(2)=3 and

f'(x) is less than or equal to 4 for all x in the interval [0,5]. Which statement below is true about the function f(x)?

The Mean Value Theorem implies that f(4)=11.

The Mean Value Theorem implies that f(5)=15.

None of the other statements is correct.

The Intermediate Value Theorem guarantees that there exists a root of the function f(x) between 0 and 5.

The Intermediate Value Theorem implies that f(5) is less than or equal to 15.
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