Let f(x) = 0 if x < 0 x if 0 ≤ x ≤ 1 2 − x if 1 < x ≤ 2 0 if x > 2 and g(x) = x f(t) dt 0 . and g(x) =  x f(t) dt   0 . (a) Find an expression for g(x) similar to the one for f(x).

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Q: How can I explain what it means for a function f(x) to be O(1)?

A: The 'f(x) to be O(1)' is to be read as function f(x) is of the order of 1.  Now refer to step two to…

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