$\text { Locate the absolute extrema of the function } g ( t ) = \frac { t ^ { 2 } } { t ^ { 2 } + 2 } \text { on the closed interval }$

Multiple Choice

$\text { Locate the absolute extrema of the function } g ( t ) = \frac { t ^ { 2 } } { t ^ { 2 } + 2 } \text { on the closed interval }$ $[ - 3,3 ] \text {. }$

A) The absolute maximum is $\frac { 9 } { 11 }$ , and it occurs at the critical number $x = 0$ .
The absolute minimum is $\frac { 9 } { 5 }$ , and it occurs at the left endpoint $x = - 3$ .
B) The absolute maximum is $\frac { 9 } { 11 }$ , and it occurs at either endpoint $x = \pm 3$ .
The absolute minimum is 0 , and it occurs at the critical number $x = 0$ .
C) The absolute maximum is $\frac { 9 } { 11 }$ , and it occurs only at the left endpoint $x = - 3$ .
The absolute minimum is 0 and it occurs at the critical number $x = 0$ .
D) The absolute maximum is $\frac { 9 } { 11 }$ , and it occurs at the critical number $x = 0$ .
The absolute minimum is $\frac { 9 } { 5 }$ , and it occurs at the right endpoint $x = 3$ .
E) The absolute maximum is $\frac { 9 } { 11 }$ , and it occurs only at the right endpoint $x = 3$ The absolute minimum is 0 and it occurs at the critical number $x = 0$ .