Else, this means that some one of the pairs, has one negative and one positive member. WHY?
Now apply the intermediate value theorem to that pair.
I'm struggling to find the pair to which I need to apply the IVT. Could you elaborate on this idea, specifically why do we know one pair has one negative and one positive number?
I'm struggling to find the pair to which I need to apply the IVT. Could you elaborate on this idea, specifically why do we know one pair has one negative and one positive number?
The point is we cannot be sure which pair has one positive and one negative member.
We just know one must exist. Say it is the pair .
That means that zero is between them so which inturn implies that .