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Right now, I am studying for my Praxis 2 exam to teach high school math. I came across this question on my practice exam:
32. Is the function f(x) = 1/x continuous?
A. No, because you cannot graph the function without lifting your pencil.
B. No, because it is not defined at x = 0.
C. No, because it has no defined minimum or maximum.
D. Yes, because it is defined for all values in its domain, the limit of f(x) exists as x approaches a and the limit equals f(a).
They said the correct answer was D, and I was surprised, I put B. From what I can gather, their logic is that the domain of the function does not include zero, so it is defined at all points in its domain. Is this correct? I`ve found conflicting things online and even in text books.
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