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4. Given the function f(x)=x^5+x-1, which of the following is true? The Intermediate Value Theorem implies...

4. Given the function f(x)=x^5+x-1, which of the following is true?

The Intermediate Value Theorem implies that f'(x)=1 at some point in the interval (0,1).

The Mean Value Theorem implies that f(x) has a root in the interval (0,1).

The Mean Value Theorem implies that there is a horizontal tangent line to the graph of f(x) at some point in the interval (0,1).

The Intermediate Value Theorem does not apply to f(x) on the interval [0,1].

The Intermediate Value Theorem implies that f(x) has a root in the interval (0,1).
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