Mathematics

Mathematics

Problem

0<x<10 < x < 11<x<21 < x < 2
f(x)f(x)PositiveNegative
f′(x)f'(x)NegativeNegative
f′′(x)f''(x)NegativePositive
Let ff be a function that is twice differentiable on −2<x<2-2 < x < 2 and satisfies the conditions in the table above. If f(x)=f(−x)f(x) = f(-x) , what are the xx-coordinates of the points of inflection of the graph of ff on −2<x<2-2 < x < 2 ?

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