Find the absolute extrema of ( f(x)={7x²}/{x-8} ) on the interval ( -3,1 ).
a) Absolute maximum at ( x=1 ), Absolute minimum at ( x=-3 )
b) Absolute maximum at ( x=-3 ), Absolute minimum at ( x=1 )
c) Absolute maximum at ( x=1 ), Absolute minimum at ( x=-8 )
d) Absolute maximum at ( x=-8 ), Absolute minimum at ( x=1 )