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6. Consider the function f: R- R defined by f (x)= (x-1)2. ( a) True or false: VGER, the equation f (x)= 6 has at least one solution XER ? If F, give a counterexample b =... ( b) Conclusion : of is surjective of is not surjective ( encircle) 7. For a function f: A - B, which of the following are equivalent to the condition of is surjective " ? Encircle. ( a) Every BE B has at least one preimage in A. ( 6 ) There exists BEB such that f ( B ) + $. ( C ) VBEB , f" ( B ) + 0. ( d) Every BE B has at most one preimage in A. ( e) For every BE B, the set f"(B) has at least one element. (f) VaEA IBEB such that B= fla). ( 9 ) Forevery BEB, there is at most one a EA such that & = fla). ( h) Forevery 6EB, there is at least one a EA such that 6 = fla). ( i) For every BEB, the equation f (x)= 6 has a solution XEA. ( j ) For every BEB, the equation fix)= 6 has at most one Solution XE A