- For each of the following functions, verify graphically that the
MVT holds and find all values of
**c**,**a < c <b**, that satisfy the condition- , ,
**b= 2**. - ,
**a=2**,**b=5**. - , , .
- ,
**a=-2**,**b=4**.

- , ,
- Explain how the MVT applies to support the patrolman's claim.
- For which values of
**a**and**b**would the MVT apply to ? - Note that the derivative is not required to be continuous in the MVT. Can you come up with a function that is differentiable, but whose derivative is not continuous? ( Hint - if is differentiable on an interval , then the derivative cannot have any jump discontinuities. What other kinds of discontinuities are there?)

Wed Sep 27 09:31:40 EDT 1995