Question: Let f ( x ) = { 0 , i f x 0 1 , i f x > 0 be a piecewise function. Although

Let f(x)={0,ifx01,ifx>0 be a piecewise function. Although f(-1)=0 and f(1)=1,f(x)12 for all x in its domain. Why doesn't this contradict the Intermediate Value Theorem?
Let f ( x ) = { 0 , i f x 0 1 , i f x > 0 be a

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