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Maths-

General

Easy

Question

Let $f colon R ⟶ R blank$ be defined by $f open parentheses x close parentheses equals open curly brackets table row cell k minus 2 x comma blank i f blank x less or equal than negative 1 end cell row cell 2 x plus 3 comma blank i f x greater than negative 1 blank end cell end table close$
If $f$ has a local minimum at $x equals negative 1 comma blank t h e n blank a blank p o s s i b l e blank v a l u e blank o f blank k blank i s$

1
0
$- \frac{1}{2}$
-1

The correct answer is: -1

$because k plus 2 greater or equal than 1$

$therefore k less or equal than negative 1$

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