Give the Domain and Range of the Relation $$y = ( x - 1 ) ^ { 2 } + 1$$

Multiple Choice

Give the domain and range of the relation.
- $$y = ( x - 1 ) ^ { 2 } + 1$$

A) domain: $( - \infty , \infty )$ ; range: $( - \infty , 1 )$
B) domain: $( - \infty , \infty )$ ; range: $[ 1 , \infty )$
C) domain: $( - 1 , \infty )$ ; range: $( - \infty , \infty )$
D) domain: $( - \infty , 1 )$ ; range: $( - \infty , \infty )$