Cubic with 3 Conditions

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A cubic function f ( x ) f(x) satisfies the following 3 3 conditions:

A. ( 0 , 1 ) (0,\ 1) is the inflection point of y = f ( x ) . y = f(x).

B. The line tangent to the curve y = f ( x ) y = f(x) at ( 0 , 1 ) (0,\ 1) is parallel to y = 6 x . y = -6 x.

C. f ( x ) f(x) has an extreme value at x = 1. x = 1.

What is the value of f ( 3 ) ? f(3)?

37 37 67 67 47 47 57 57

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