A swimmer crosses a pool of width b by swimming in a straight line from (0, 0) to (2b, b) as shown in the figure below. (2b, b) |(0,0) (a) Let f be a function defined as the y-coordinate of the point on the long side of the pool that is nearest the swimmer at any given time during the swimmer's path across the pool. Determine the function f. ,0sx< b f(x) = ,b < xs 2b Sketch the graph of the function.

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