1. (16 pts) Sketch the graph of a function f satisfying all of the following condition...

  

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1. (16 pts) Sketch the graph of a function f satisfying all of the following condition (a) f is even; (b) f(0)=5; f is continuous, but not differentiable at x = 0; (c) lim f(x)=5, lim f(x) = -00; x+00 94-x 6 (d) f'(x)>0 on (6, +00); (e) f'(x) <0 on (0,6); (f) f"(x)>0 on (0,3); (g) f'(x) <0 on (3,6) and (6, +00). 40 4 -10--- -7-- 15 - -R 2 4 10 1. (16 pts) Sketch the graph of a function f satisfying all of the following condition (a) f is even; (b) f(0)=5; f is continuous, but not differentiable at x = 0; (c) lim f(x)=5, lim f(x) = -00; x+00 94-x 6 (d) f'(x)>0 on (6, +00); (e) f'(x) <0 on (0,6); (f) f"(x)>0 on (0,3); (g) f'(x) <0 on (3,6) and (6, +00). 40 4 -10--- -7-- 15 - -R 2 4 10