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Problem 42

$37-50=$ Find the absolute maximum and absolute minimum
values of $f$ on the given interval.
$$f(x)=\left(x^{2}-1\right)^{3}, \quad[-1,2]$$

Answer

Absolute minimum value is $-1$ which occurs at $x=0$
Absolute maximum value is 27 which occurs at $x=2$

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