F x - - k - 2x-ifx - -1- 2x - 3-ifx - - 1 - if f has a local minimum at x-1-then k -

[ lim #160; #160;_ x→ 1^ + f( x ) =1; f( 1 ) =k+2 ] Answer f has a local minimum at x= 1 [ f( 1^ + ) ≥ ...

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Second Derivative Test for Local Maximum

f x = [ k - ...

Question

$f (x) = {\begin{matrix} k - 2 x, i f x \leq - 1 2 x + 3, i f x > - 1 \end{matrix}},$ if f has a local minimum at x=-1,then k =

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