How much nylon (in square feet) would be needed to make the tent shown, including the bottom? (Round your answer to one decimal
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Answers:
Domain =
Range =
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Explanation:
The domain is the set of allowed x value inputs. We note that the left-most point is when x = -5, and this point has a closed or filled in endpoint, so we're including this x value in the domain.
The left piece has its other endpoint at x = -2, so the interval is part of the domain. We write that as
is part of the domain's answer. The other part is
. We include x = 1 but exclude x = 5 as there's a hole here.
Use the union symbol to glue the two intervals together and we end up with as the full domain.
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The range is the set of possible y values. The lowest point is when y = -4, but we exclude this endpoint since there's an open hole here. The highest point is when y = 4. The range is which we write as
Since there are no gaps in the range, we don't use any union symbols here. Any y value between -4 and 4 is possible, other than y = -4 itself.