Question: Question 4: Let f : R > IR be the function with formula f(:c) = $3 m2 = $2(m 1). (i) Graph this function (gure

Question 4: Let f : R > IR be the function with formula f(:c) = $3 m2 = $2(m 1). (i) Graph this function (gure out where it is zero, positive and negative). (ii) (a) Find (nonempty) sets X , Y C R so that the restriction f | x is a bijection from X onto Y. (b) Is there a maximal choice for X? i.e. is there a set X with this property and also such that no set larger that X has this property? If there is, is it unique? (0) Is there a maximal choice for Y? If there is, is that unique

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