need help wiith this curve-sketching question please.

[prime copper]

i dont understand why my teacher said x = -2 was neither. should it not be a minimum becaue it changes side?

[solar thistle]

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[neon owl]

by definition, a function only has a maximum at x=m if f(m) is defined and greater than or equal to nearby values, and vice versa for minimum. Because there is a hole at this point, we can say that there is neither a maximum or minimum.

[prime copper]

okay thanks!

+close

[inner igloo]

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