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. Every continuous function on the interval $( -3, 1 ]$ must have both a maximum and a minimum.
2. Every differentiable function on the interval $( -3,0 ]$ must have both a maximum and a minimum.
3. Every function on the interval $[ -3,0 ]$ must have both a maximum and a minimum.
4. Every function on the interval $( -3,1 ]$ must have both a maximum and a minimum.