Examine if Rolle’s Theorem is applicable to any of the following functions. Can you say some thing about the converse of Rolle’s Theorem from these examples?
\((i)f(x)=[x]\,for\, x∈[5,9]\)
\((ii)f(x)=[x]\,for\, x∈[-2,2]\)
\((iii)f(x)=[x^2]\,for\, x∈[1,2]\)