If f(x) = min. 1, x^2, x^3 , then - Vidyadip

MCQ

If $f(x)\ =$ min. $\{1, x^2, x^3\},$ then

A
$f(x)$ is discontinuous $\forall \,x\, \in \,R$
B
$f(x) > 0$ $\forall \,x\, \in \,R$
✓
$f(x)$ is not differentiable but continuous $\forall \,x\, \in \,R$
D
$f(x)$ is not differentiable for two values of $x$

✓

Answer

Correct option: C.

$f(x)$ is not differentiable but continuous $\forall \,x\, \in \,R$

c

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