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