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One One Many One Function#!#Concept and Question

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The function f:(-oo,-1)rarr(0,e^(5)) defined by f(x)=e^(x^(3)-3x+2) is (a)many one and onto (b)many one and into (c)one-one and onto (d)one-one and into

If X={1,2,3,4,5} and Y={a,b,c,d,e,f} and f:X rarr Y , find the total number of {:((i)" functions ",(ii)" one to one functions "),((iii)" many-one functions ",(iv)" constant functions "),((v)" onto functions ",(vi)" into functions "):}