`f'(x) = 0, (2,5)` Find a function `f` that has the derivative `f'(x)` and whose graph passes through the given point. Explain your reasoning.

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Borys Shumyatskiy | College Teacher | (Level 3) Associate Educator

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The function whose derivative is always 0 is a constant function. Given that at x=2 f(x)=5 we make a conclusion that this constant is 5.

The answer: f(x)=5.

(no, I cannot use 120 words here)