SOLVED:Properties of Continuity Prove that if f is continuous on an interval, then so is |f| .
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SOLVED:Prove: If f is nonconstant and continuous on an interval I, then the set S= {y |y=f(x), x ∈I} is an interval. Moreover, if I is a finite closed interval, then so is S
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Suppose that f is a function defined on an interval I such that f^' exists and is bounded on I. Prove that f must be uniformly continuous on I. | Numerade
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