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For each of the following functions, say whether it is convex. Briefly justify each answer. a. F o r x R , i s f

For each of the following functions, say whether it is convex. Briefly justify each answer.

a. ForxR,isf(x)=exp(x)convex?

b. ForxR,isf(x)=xconvex?

c. Forx,wRd,isf(x)=wTx.convex

d. Forx,wRd,isf(x)=wTx+xTx.convex?

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