Find the Exact Location of All the Absolute Extrema of the Function

Multiple Choice

Find the exact location of all the absolute extrema of the function with domain $( - 7 , \infty )$ . ? $f ( x ) = x ^ { 4 } - 8 x ^ { 3 }$

A) $( 6,432 )$ - absolute minimum
B) $( - 6 , - 432 )$ - relative maximum
C) $( 6,0 )$ - absolute maximum
D) $( 6 , - 432 )$ - absolute minimum
E) $( 6 , - 432 )$ - relative minimum