Find the Domain and Range of the Function $f ( x ) = - x ^ { 2 } - 12 x - 43$

Multiple Choice

Find the domain and range of the function.
$f ( x ) = - x ^ { 2 } - 12 x - 43$

A) $\text { Domain: } ( - \infty , \infty ) \text {; Range: } ( - \infty , 6 ]$
B) $\text { Domain: } ( - \infty , \infty ) \text {; Range: } [ 7 , \infty )$
C) $\text { Domain: } ( - \infty , \infty ) \text {; Range: } ( - \infty , - 7 ]$
D) $\text { Domain: } ( - \infty , - 7 ] ; \text { Range: } [ 6 , \infty )$