Use Transformations to Graph the Function $$f ( x ) = 2 ^{( x - 3 )}$$

Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.
- $$f ( x ) = 2 ^{( x - 3 ) }$$

A) domain: $( - \infty , \infty )$ ; range: $( 0 , \infty )$
horizontal asymptote: $\mathrm { y } = 0$

B) domain: $( - \infty , \infty )$ ; range: $( 0 , \infty )$
horizontal asymptote: $\mathrm { y } = 0$

C) domain: $( - \infty , \infty )$ ; range: $( - \infty , 0 )$
horizontal asymptote: $\mathrm { y } = 0$

D) domain: $( - \infty , \infty )$ ; range: $( - \infty , 0 )$
horizontal asymptote: $\mathrm { y } = 0$