suppose that f is a continuous function and f(0)=0, f(2)=f(-2)=1, f'(0)=0, f'(x)>0 for x>0, f'(x)<0 for x<0, f''(x)>0 for |x|<2, f''(x)<0 for |x|>2, and lim x to infinity f(x)=lim x to infinity f(x)=2. sketch the graph of y=f(x)

Abilliard ball is struck by a cue. it travels 1 0 0 cm 100cm before ricocheting off a rail and traveling another 1 2 0 cm 120cm into a corner pocket. the angle between the path as the ball approaches the rail and the path after it strikes the rail is 4 5 ∘ 45 ∘ . how far is the corner pocket from where the cue initially struck the ball? do not round during your calculations. round your final answer to the nearest centimeter.