The outside wall of a house is 11 feet high. From the western wall, the roof rises 6 feet over a horizontal span of 24 feet and then descends at the same rate over another horizontal span of 24 feet to the eastern wall of the house. For this problem, take the origin to be at the base of the west wall, and take west-to-east to be the positive direction.
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A: Find a formula that describes the ascending part of the roof. Use d for the horizontal distance east of the west wall and H for the height above the ground, both in feet.
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B: Find a formula that describes the descending part of the roof.
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C: Find a formula for a piecewise-defined function that describes the entire roof line.
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What will be an ideal response?
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Mathematics
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