Problem 3. Let F and G be two functions defined as { and F(x)= sin - 0, " x G(z) = { ₁,² if x # 0, if x = 0. -F(x), if x 0, if x = 0. Show that both F and G have the Intermediate Value Property, yet F+ G does not. Thus the class of functions with IVP is not closed under addition

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