Let I: JR~ JRbe defined by I(x) =x2 for x e R(a) Showthat the inverseimage I-I (I) of an

Chapter 11, Problem 1

(choose chapter or problem)

Let I: JR~ JRbe defined by I(x) =x2 for x e R(a) Showthat the inverseimage I-I (I) of an open interval 1 := (a.b) is either an open interval,the union of two open intervals, or empty, depending on a and b.(b) Show that if 1 is an open interval containing 0, then the direct image 1(1) is not open.

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