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Global Maxima

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Question

Find the greatest and the least value of the function $f (x) = x^{3} - 3 x^{2} + 2$ on the interval [-1, 3] and construct its graph on that interval.

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Solution

By seeing the graph we can interpret that maximum value of f(x) is 2 and minimum value of f(x) is -2 in the interval $x \in [- 1, 3]$

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