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Graph . For what value(s) of does achieve its minimum value? What characteristic of this function makes the answer to this question unusual?

Continuous Piecewise, 3 linear pieces, coming from upper left, turning right at the point (negative 1, comma 3), turning up at the point (2, comma 3), continuing up & right.

It is possible for a function to have more than one global extrema. For example, any horizontal line has infinitely many minimums and maximums.