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Sketch a possible graph of a function satisfying all of the following properties: f is an even function with domain [-6, 6]. f has

 

Sketch a possible graph of a function satisfying all of the following properties: f is an even function with domain [-6, 6]. f has intervals of continuity: [-6, -5], (-5,-2), [-2,0), (0, 2], (2,5), and [5,6]. f(0) = 2, f(2)= 0, and f(6) = 5 lim f(x) = 4 and lim f(x) = 0 x-0 x-4 lim f(x) = 0 and lim f(x) = -3 X-2- X-2+ lim f(x) = -2 and lim f(x) = 1 x-5- x-5+ f(x) > 0 for x in (0,2) U [5,6] and f(x) < 0 for x in (2,4) U (4,5)

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