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- Mar 12th 2009, 03:31 AMchamprockFunctions question
- Mar 12th 2009, 10:34 AMpankaj
(D) should be the obvious answer

- Mar 12th 2009, 10:37 AMchamprock
can u tell me what does the "symbol" in part "C" mean? I knew that D was the answer but didnt know what PART 3 meant.

thanks - Mar 12th 2009, 11:22 AMbkarpuz
hi,

see here: Fixed Point Theorem -- from Wolfram MathWorld

C means that there always exists a point $\displaystyle x_{0}\in[0,1]$such that $\displaystyle f(x_{0})=x_{0}$ or in other words $\displaystyle =f(x)$ intersects $\displaystyle y=x$ at least once (try to sketch a graph).

the answer is D, let $\displaystyle f(x)\equiv1/2$. - Mar 12th 2009, 06:09 PMpankaj
I think the symbol stands for "there exists"