Question: 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

 Could someone please help me with this proof The Intermediate Value

Could someone please help me with this proof

Property Definition 4.5.3. A function of has The intermediate value property on

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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