1
KCET 2021
MCQ (Single Correct Answer)
+1
-0

At $$x=1$$, the function

$$f(x)=\left\{\begin{array}{cc} x^3-1, & 1< x < \infty \\ x-1, & -\infty< x \leq 1 \end{array}\right. \text { is }$$

A
continuous and differentiable.
B
continuous and non-differentiable.
C
discontinuous and differentiable.
D
discontinuous and non-differentiable.
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