SOLUTION: A function is positive over the intervals {x ∣ -2 < x < 0} and {x ∣ 3 < x < ∞}. What are the zeros for the function?
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Question 987296: A function is positive over the intervals {x ∣ -2 < x < 0} and {x ∣ 3 < x < ∞}. What are the zeros for the function?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the function is continuous over 
, then -2, 0, and 3.
But the significantly more correct answer is that it may not have any zeros.
Consider the function:
\ =\ \left\{\begin{array}{lcr}-1&\text{if}&x\ <\ -2\\1&\text{if}&-2\ <\ x\ <\ 0\\-1&\text{if}&0\ <\ x\ <\ 3\\1&\text{if}&3\ <\ x\end{array})
Which is positive on the given intervals but has no zeros at all.
John
My calculator said it, I believe it, that settles it
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