whats missing is is that f(x) must be continuous.
If f is continuous and f(1) > 0 and f(3) < 0 then there is a c in (1,3)
st f(c) = 0
The statement:
If f(1)>0 and f(3)<0 then there exists a number c between 1 and 3 such that f(c)=0
is false but i dont understand why?
How can you tell when a root (c) will exist between the two given numbers to make f(c)=0?
thanks
chad