JEE Main 2010Annual, Paper 1MathematicsMediumLimit, Continuity and Differentiability420× since 2002Let f:R→Rf:R \to Rf:R→R be defined by f(x)={k−2x, ifx≤−12x+3, ifx>−1f\left( x \right) = \left\{ {\matrix{ {k - 2x,\,\,if} & {x \le - 1} \cr {2x + 3,\,\,if} & {x > - 1} \cr } } \right.f(x)={k−2x,if2x+3,ifx≤−1x>−1 If fffhas a local minimum at x=−1x=-1x=−1, then a possible value of kkk isAOption A. 000BOption B. −12- {1 \over 2}−21COption C. −1-1−1DOption D. 111CheckSkip · show solution
