Enter a T or an F in each answer space below
to indicate whether the corresponding statement is true or
false.

A good technique is to think of several examples, especially examples which might show that the statement is false!

You must get all of the answers correct to receive credit.
**1.** If a continuous function has a maximum value then it also has a minimum value.
**2.** If a differentiable function has a maximum value then it also has a minimum value.
**3.** Every continuous function whose domain is a bounded, closed
interval has a maximum value.
**4.** If a function is increasing near a point **5.** If the linear approximation of a differentiable function is constant at a point **6.** Every differentiable function has a maximum value.
**7.** Every continuous function
whose domain is a bounded, closed interval and which has a
maximum value also has a minimum value.
**8.** If a differentiable function has a maximum value then its domain must be a
bounded, closed interval.

You can earn partial credit on this problem.