Finding the absolute/global extrema

February 12, 2008

On the interval [-1,1], find the absolute extrema of the function:

f(x) = \bigg\{ \begin{array}{lcl} 1- \pi x + \sin (\pi x), & \mbox{ if } & x<0,\\ 1+6x -9x^2+4x^3, & \mbox{ if } & x\geq 0. \end{array}

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