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Rolle's Theorem Question if f(a)=f(b) then it is constant function, so every point c in the interval...

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Advance Math

Rolle's Theorem Question

if f(a)=f(b) then it is constant function, so every point c inthe interval (a,b) is zero.

I don't understand the terms constant function, is it supposedto be a horizontal line or it can be a parabola curve.

For example, when f(a)=f(b) and they both exist at the endpointthen it can be a parabola curve then it break the assumption thatf(a)=f(b) then it is constant function, so every point c in theinterval (a,b) is zero.

Please draw the picture to describe and explain

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