February 2019 1 160 Report

Sa se determine m∈ℝ astfel incat functia f : ℝ -> ℝ,

f(x) = \left \{ {{x^2-2mx+2, \quad x\leq0} \atop {-x+m, \quad x>0}} \right.
sa fie strict descrescatoare pe ℝ.

a)m\in \emptyset \quad \quad b) m \in \mathbb{R} \quad \quad c)m \in (- \infty ,0) \\ \\ d) m\in[0,2] \quad \quad e) m\in(1,2) \quad \quad f) m\in [2,\infty)

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