(1) The Set A ={11k+8|kZ},B={4m|mZ}and C = {11(4n + 1) 3|n Z} are given.

Prove that A B = C.

(2) Given f(x) = x3+2×2+x, find the domain, range, behaviour x2 x2

of f(x) and hence sketch the graph of the function.

(3) Determine the values of the real parameter m for which the set A = {X R|(m1)x2 (3m+4)x+12m+3 = 0} has:

(a) one element (b) two elements

(c) has no element.