The function is defined by f(x)= cases x^ 2 -4,& x -1

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

The function ff is defined by f(x)={x2−4,x≤−1,ex,x>−1.f(x)=\begin{cases}x^{2}-4,& x\le -1,\\ e^{x}, & x>-1.\end{cases} The range of ff is (a) (1/e,∞)(1/e,\infty) (b) [−3,∞)[-3,\infty) (c) (−3,∞)(-3,\infty) (d) [−4,∞)[-4,\infty)

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