Some examples and ways to solve them sill be nice.
If the function f(x) is continuous and if f(a) < f(b) , then there exists at least one value c such that f(a)<f(c)<f(b) where a < c < b
Consider the function x^3-2x-3
f(1) =1^3-2*1-3 =1-2-3=-4
f(2) =2^3-2*2-3 =8-4-3=1
There exists a c between 1 and 2 such that f(c)=0
In fact that value is 1.8934
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