What Is the Minimum Value Of $3 x ^ { 3 } - 12 x + 17 ?$

Multiple Choice

What is the minimum value of $3 x ^ { 3 } - 12 x + 17 ?$ Restrict your attention to the horizontal span of 0 to 12.

A) 2.18
B) 7.76
C) 1.15
D) 11.63