2. Define D (fig) = sup_ {f(x)-g(x)1}. This is a metric (no need to prove; [0,1]...

 

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2. Define D (fig) = sup_ {\f(x)-g(x)1}. This is a metric (no need to prove; [0,1] it's easy). Sketch a graph of the p-nbhds. of the following: Ⓒf(x) = 1, vxe [0, 1]. Ⓒ f fx) = x, Ⓒ f(x) = x³, @ f(x)= {1, xeto, 2) (X, XE Ez, 2. Define D (fig) = sup_ {\f(x)-g(x)1}. This is a metric (no need to prove; [0,1] it's easy). Sketch a graph of the p-nbhds. of the following: Ⓒf(x) = 1, vxe [0, 1]. Ⓒ f fx) = x, Ⓒ f(x) = x³, @ f(x)= {1, xeto, 2) (X, XE Ez,

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