Q. Let $f:R \longrightarrow R\$be defined by $f(x) = \left\{ \begin{array}{r} k - 2x,\ \ if\ x \leq - 1 \\ 2x + 3,\ \ ifx > - 1\ \end{array} \right.\$ If $f$has a local minimum at $x = - 1,\ then\ a\ possible\ value\ of\ k\ is$

A) 1
B) 0
C) $- \frac{1}{2}$
D) -1
Explanation

(d)
[image:6_image7.emf]
$\because k + 2 \geq 1$
$\therefore k \leq - 1$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.