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Given one application of the rational function, you must answer the posted questions from the given scenario.

For a camera with a lens of fixed focal length F focus on an object located at a distance x from the lens, the film must be placed at a distance y behind the lens, where F, x, and y are related by

1/x + 1/y = 1/F

Suppose the camera has a 55-mm lens (F=55).

A. Express y as a function of x and graph the function.

B. What happens to the focusing distance y as the object moves far away from the lens?

C. What happens to the focusing distance y as the object moves closer to the lens?