- #1
moham_87
- 13
- 0
hi
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
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