Classifying Critical Points of a Polynomial
The function p(x) = x³ - 3x² - 9x + 5 has critical points at x = -1 and x = 3. Which of the following statements is true?
A
p(-1) is a local maximum and p(3) is a local minimum
B
Both p(-1) and p(3) are local minima
C
p(-1) is a local minimum and p(3) is a local maximum
D
Both p(-1) and p(3) are local maxima
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