MCQ
$f(x) = \left\{ {\begin{array}{*{20}{c}}
{ - {x^3} + 1\,\,\,\,\,if\,\,\,\,\,\, - \infty < x \leqslant 1} \\
{|x - 1| + \lambda \,\,\,\,if\,\,\,\,\,\,\,\,\,\,\,\,x > 1}
\end{array}} \right.$ then-
{ - {x^3} + 1\,\,\,\,\,if\,\,\,\,\,\, - \infty < x \leqslant 1} \\
{|x - 1| + \lambda \,\,\,\,if\,\,\,\,\,\,\,\,\,\,\,\,x > 1}
\end{array}} \right.$ then-
- A$ƒ(x)$ has point of minima at $x = 1\,\, \forall \lambda \in R$
- B$ƒ(x)$ has point of minima at $x = 1$ only for $\lambda < 0$.
- C$ƒ(x)$ increases at $x = 1\,\, \forall \lambda \geq 0$
- ✓$ƒ(x)$ has point of minima at $x = 1\,\, \forall \lambda > 0$
