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