Let $f: R ightarrow R$ be defined by $f(x)=\left\{\begin{array}{ll}k-2 x, & ext { if } x \leq-1 \ 2 x+3, & ext { if } x-1\end{array} ight.$. If $f$ has a local minimum at $x=-1$, then a possible value of $\mathrm{k}$ is

Question

Let $f: R ightarrow R$ be defined by $f(x)=\left\{\begin{array}{ll}k-2 x, & 	ext { if } x \leq-1 \ 2 x+3, & 	ext { if } x>-1\end{array}ight.$. If $f$ has a local minimum at $x=-1$, then a possible value of $\mathrm{k}$ is

Aicharya · Accepted Answer

$f(x)=k-2 x \quad$ if $x \leq-1$ $=2 x+3 \quad$ if $x>-1$

Let $f: R \rightarrow R$ be defined by $f(x)=\left\{\begin{array}{ll}k-2 x, & \text { if } x \leq-1 \\ 2 x+3…

Solution