Is f(x)=1/x continuous over the interval (-4,4)?

No, It is not continuous

Step-by-step explanation:

The function will be continuous on the open interval (-4,4) if there is no vertical asymptote or hole on (-4,4).

But the given function has a vertical asymptote at .

Therefore is not continuous on the interval (-4,4) because x=0 belongs to the given interval.

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