Find the Domain and Range of the Function $$f ( x ) = x ^ { 2 } + 4 x + 1$$

Multiple Choice

Find the domain and range of the function.
- $$f ( x ) = x ^ { 2 } + 4 x + 1$$

A) Domain: $[ - 3 , \infty )$ ; Range: $( - \infty , 0 ]$
B) Domain: $( - \infty , \infty )$ ; Range: $[ - 3 , \infty )$
C) Domain: $( - \infty , \infty )$ ; Range: $[ - 2 , \infty )$
D) Domain: $[ - 3 , \infty )$ ; Range: $( - \infty , - 2 ]$