Thread: example of a continuous function that is not bounded?

If we let a and b be real numbers with a < b, what would be an example of a continuous f on [a,b) which is not bounded, and what would be an example of a continuous f on [a, ) which is not bounded?

for the first one would 1/x-1 work? and for the second part would f(x)=x work?

The second is correct, for the first one, generally works (I assume that's what you meant..)

Originally Posted by Defunkt

The second is correct, for the first one, generally works (I assume that's what you meant..)

Yes, when I was working on the problems I figured it would be easier to see it by actually knowing what a and b were. I guess I didn't change it. Thank you

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