Question: 7. [-/6 Points] DETAILS Show that the function f(x) = - 2 has an absolute maximum but not an absolute minimum. x2 + 2 2

7. [-/6 Points] DETAILS Show that the function f(x) = -

7. [-/6 Points] DETAILS Show that the function f(x) = - 2 has an absolute maximum but not an absolute minimum. x2 + 2 2 2 f(x) = ? v 0 for all x E IR. Since lim 0 , f does not take on an absolute minimum. x2+ 2 X - 00 X- + 2 2 Since x2 + 2 2 2, it follows that f(x) = ? v 1. f(0) = and that is the absolute maximum. x2 + 2

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