Question 273161
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Critical points are at (0,5) and (1,-3).  These two points separate the *[tex \Large x]-axis into three regions.  Select *[tex \Large x]-values from each of the three regions that are not the critical point *[tex \Large x]-values.


Let *[tex \Large x\ =\ -4\ \Rightarrow\ (-4-5)(-4+3) > 0]


Let *[tex \Large x\ =\ 0\ \Rightarrow\ (0-5)(0+3) < 0]


Let *[tex \Large x\ =\ 6\ \Rightarrow\ (6-5)(6+3) > 0]


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ (x\ -\ 5)(x\ +\ 3)\ \leq\ 0]


On the interval [-3,5]


John
*[tex \LARGE e^{i\pi} + 1 = 0]
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