The height of your body above the surface of the water as you jumped in would be represented by a high, decreasing exponential or quadratic function, showing a rapid decline until you hit the water; while your swimming and ladder climbing can be modeled by linear functions, reflecting a constant height increase as you move horizontally and vertically. Overall, this creates a piecewise function combining these different segments of motion over time.
In 1–2 sentences, 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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