In this situation, the height of your body above the surface of the pool water can be represented using a piecewise function: initially, a decreasing exponential or quadratic function describes your descent into the water as you jump, followed by a linear function representing your horizontal swimming across the pool, which then transitions into another linear function depicting your ascent up the ladder, ultimately yielding a continuous piecewise graph that sharply drops, levels out during the swim, and rises again before reaching a stable height on the edge of the pool.
In 1 sentence (and 60 or more words), describe what types of function can be used to describe each part of the following situation. You jumped from a high ledge into a pool of water, then swam to the other side of the pool and climbed up a ladder at a constant rate to get out of the pool. Compare your height around the surface of the pool water to the time.
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