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Could someone please help me with this proof The Intermediate Value Property Definition 4.5.3. A function of has The intermediate value property on an interval

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Could someone please help me with this proof

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The Intermediate Value Property Definition 4.5.3. A function of has The intermediate value property on an interval [a, 6] if for all xcy in [a, 6] and all L between f(x) and fly), it is always possible To find a point CE ( x,y) where f (c)= L. Exercise 4.5.3 A function of is increasing on A if f ( x) = fly) for All xzy in A. Show That if f is increasing on [a, 6] and satisfies The intermediate value property ( Definition 4.5. 3), Then f is continuous on [a,6]

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