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Question

Mathematics Question on Functions

Let f:RRf:R\rightarrow R be defined by f(x)={k2x,x1 2x+3,x>1f(x) = \begin{cases} k-2x,x\le-1\\\ 2x+3,x\gt-1 \end{cases}. If f(x) has a local minimum at x=- 1, then a possible value of k is

A

0

B

12-\frac{1}{2}

C

-1

D

1

Answer

-1

Explanation

Solution

The correct option is (C): -1