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Let \(f(x) = \left\lceil\dfrac{1}{x+2}\right\rceil\) for \(x > -2\), and  \(f(x) = \left\lfloor\dfrac{1}{x+2}\right\rfloor\)for \(x < -2\). ( \(f(x)\) is not defined at \(x = -2\).) Which integer is not in the range of \(f(x)\)?

 Feb 26, 2021
 #1
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Graphing, we see that the integer 1 is not in the range of f(x).

 Mar 13, 2021

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