To analyze the scenario and determine the types of functions that describe the height of the item over time, we can break down the events as follows:
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Lifting the Item: The item is being lifted by the elevator at a constant speed to a height of 10 feet. During this time, the height is increasing linearly with time, so this segment can be described by a linear function.
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Item at Rest on Platform: After reaching the height of 10 feet, the item does not move for five seconds. During this time, the height remains constant at 10 feet, which can be described by a constant function.
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Catapulting Off the Platform: When the item catapults off the platform, it will follow a projectile motion, which can be modeled by a quadratic function as it ascends and then descends due to gravity.
In summary, the overall breakdown of the height of the item over time is:
- Linear Function - While the elevator lifts the item to 10 feet.
- Constant Function - While the item remains at the height of 10 feet for five seconds.
- Quadratic Function - While the item is in projectile motion after catapulting off the platform.
Based on this analysis, the correct order of functions that describes this scenario is:
Linear Function, Constant Function, Quadratic Function.