For each function, state whether it is (i) bounded and piecewise monotonic; (ii) piecewise con- tinuous;...

 

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For each function, state whether it is (i) bounded and piecewise monotonic; (ii) piecewise con- tinuous; (iii) integrable on the domain given. No justification needed. (a) f [1,1] R, f(x) = |x| : (b) : [1,1] R, (c) f [0,1] R, f(x) x #0 = x = 0 f(x) = n (d) f [0, 1] R, f(x) = = x (for nN n+1' /] for n N x = 0 x sin(1) x 0 x = 0 For each function, state whether it is (i) bounded and piecewise monotonic; (ii) piecewise con- tinuous; (iii) integrable on the domain given. No justification needed. (a) f [1,1] R, f(x) = |x| : (b) : [1,1] R, (c) f [0,1] R, f(x) x #0 = x = 0 f(x) = n (d) f [0, 1] R, f(x) = = x (for nN n+1' /] for n N x = 0 x sin(1) x 0 x = 0