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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

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

Mar 13, 2021