Let f: R \to R be defined by f(x)={\\begin{array}{ccc}k-2 x & & \\\\text{ if }\\ & x \leq-1 \ 2 x+3 & & \\\\text{ if }\\ & x&gt\\-1\end{array}. If f has a local minimum at x=-1, then a possible value of k is [AIEEE 2010]

AIEEE 2010 Solved Paper

Section: Mathematics

Question : 73 of 89

Marks: +1, -0

Let f:R→R be defined by
f(x)={

k−2x	‌	‌ if ‌	x≤−1
2x+3	‌	‌ if ‌	x>−1

.
If f has a local minimum at x=−1, then a possible value of k is

[AIEEE 2010]

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k−2x	if ‌x≤−1
2x+3	if ‌x>−1