Find the Absolute Extremum Within the Specified Domain $f(x)=\frac{1}{3} x^{3}-2 x^{2}+3 x-4 ;[-2,5]$

Multiple Choice

Find the absolute extremum within the specified domain.
-Minimum of $f(x) =\frac{1}{3} x^{3}-2 x^{2}+3 x-4 ;[-2,5]$

A) $\left(2,-\frac{61}{3}\right)$
B) $\left(2,-\frac{62}{3}\right)$
C) $\left(-2,-\frac{61}{3}\right)$
D) $\left(-2,-\frac{62}{3}\right)$