Locate the Absolute Extrema of the Function $g ( x ) = \frac { 4 x + 5 } { 5 } \text { on the closed interval }$

Locate the absolute extrema of the function $g ( x ) = \frac { 4 x + 5 } { 5 } \text { on the closed interval }$ $( 0,5 )$

A) absolute maximum: $( 5,5 )$
absolute minimum: $( 0,0 )$

B) absolute maximum: $( 5,1 )$
absolute minimum: $( 0,5 )$

C) absolute maximum: $( 5,5 )$
absolute minimum: $( 0,1 )$

D) absolute maximum: $( 5,5 )$
absolute minimum: $( 1,0 )$

E) absolute maximum: $( 0,5 )$
absolute minimum: $( 1,0 )$