問題詳情

3. Find the cubic function of the form f(x) = ax³ + bx² + cx + d, where a ≠ 0 and the coefficients a, b, c, d are real numbers, which satisfies the conditions given below.

Relative maximum: (3,5)
Relative minimum: (5,3)
Inflection point: (4,4)
(A)

x³ - 6x² +

x + 21
(B)

x³ - 6x² - 

x + 21
(C) -

x³ + 6x² -

x + 22
(D)

x³ - 6x² +

x - 22
(E) 

x³ - 6x² + 

x - 22

參考答案