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5-146.

Multiple Choice: Let be the function given by . Which of the following statements about are true?

I.

is continuous at .

II.

is differentiable at .

III.

has an absolute minimum at .

Examples of functions that are not differentiable at . Notice that some of them are still continuous at .

The Three Conditions of Continuity

A.

I only

B.

II only

C.

III only

D.

I and III

E.

II and III