Must a function that is decreasing over a given interval always be negative over that same interval? Explain.
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Clearly, this function is decreasing and negative (i.e. below the x-axis) over its domain. ... Therefore, a function need not be negative over the interval it is decreasing on.
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Clearly, this function is decreasing and negative (i.e. below the x-axis) over its domain. ... This function is decreasing over the said interval. However, it is not negative. Therefore, a function need not be negative over the interval it is decreasing on.
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