Question: Could someone help me with this question(piecewise) on maple?

been struggling on this question for ages:

 

the questions is as follows is to be solved using maple:
http://www.villagephotos.com/utils/image.aspx?u=2006-11\1228676\piece.jpg
where alpha,beta , sigma are constants . investigate whether it is possible to choose alpha,beta and sigma as to ensure that f is real- valued, continuous and with first and second derivatives at x=0. Plot a graph of any resulthing continous functions f and it's derivatives, over ranger -1<=x <= 1.

sofar i have f:=piecewise(x<0,(1+alpha*x^(2))^((logx)… ,(log(1+sigma*x^(2)))/((1- cos(x)))) as starter i think i need to use the function solve trying to find alpha beta and sigma , with conditions with assume. this is my assumption but i'm not too sure about it so would like peoples help/opinions as i'm completely stuck

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