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that is my first time, and i have questions for my exam.

* Show that if a function "f" is continuous and has no zeros on an interval, then either f(x)>0 or f(x)<0 for every "x" in the interval

(Intermediate Value Theorem)

I solved it in that way:

since no zeros in the interval then the interval will be

(-inf,0)U(0,inf)

so f(x) will not be 0.... but that can be possible, and didn't know how to do it???

please i need the answer in maximum 2 days

any efforts will be appreciated

thank you

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# Easy to understand, hard to solve

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