Discuss the applicability of Rolle's theorem on the function given by
`f(x) = {{:(x^(2)+1,if0lexle1),(3-x,if1lexle2):}`

Discuss the applicability of Rolle's theorem on the function given by f(x) = {(x^(2) + 1",","if" 0 le x lt 1),(3-x",","if" 1 le x le 2):}

Discuss the applicability of Rolles theorem on the function f(x)={(x^2+1 ,, if \ 0lt=xlt=1),(3-x ,,if 1ltxlt=2):}

Discuss the applicability of Rolles theorem for the function f(x)=x^(2/3) on [-1,1]

Discuss the applicability of Rolles theorem for the function f(x)=3+(x-2)^(2/3) on [1,3]

Discuss the applicability of Rolles theorem for the function f(x)=3+(x-2)^(2/3) on [1,3]

Discuss the applicability of Rolle's theorem to the function f(x)=x^(2)+1" on "[-2,2] .

Discuss the applicability of Rolle's theorem for the function f(x)={{:(x^(2)-4",",x le1),(5x-8"," , x gt1):}

Discuss the applicability of Rolle's theorem of the following functions: f(x) =x^(2) in 2 le x le 3

Discuss the appllicability of Rolle's theorem for the function f(x) = x^2 - 1 for x in (1,2) .