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Question: exercise 4 let f g 11 11 be...

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Exercise 4. Let f, g : [-1,1] → [-1,1] be defined as follows: デ ze 1-1,01 f(x)--^sin(2), xE (0, 1 x, and z EI-1,0 ZE ,11. Let A and B denote the graphs of f and g, respectively, that is, A = { (z./(z)) : E [-1,1]} and B {(z, g(z)) : z E [-1,1]} (a) Show that AnB-0 and (-1,-1),,1 A and (1,1), (1,-1))S B. (b) Prove that A and B are connected subsets of [-1, 1] × [-1,1].

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