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11 OneDimensional Functions 111 Solved Problem Problem 1 Consider the analytic function f R !R f(x) = 4x(1 x) (i) The xed points of the function fare the solutions of the equation f(x) = x Find the xed points (ii) The critical points of fare the solutions of the equation df(x)=dx= 0 Find the critical points of fSolution We have rw=(2xy;x), so (rw)( 1;1)=( 1;In this video I want to introduce you to some terminology that will be useful in our discussion of functions and invertibility and this is in general terminology that you'll probably see in your mathematical careers so let's say I have a function f and it is a mapping from the set X to the set Y and we've drawn this diagram many times but it never hurts to draw it again so that is my set X or Solved 1 Show That Y X Is Not A One To One Function 2 Chegg Com One to one function example problems with solutions pdf