Find the Domain, Range, and Asymptote If Any $h ( x ) = e ^ { x + 1 } - 5$

Find the domain, range, and asymptote if any. $h ( x ) = e ^ { x + 1 } - 5$

A) Domain: $( - \infty , \infty )$
; Range: $( 5 , \infty )$
; Asymptote: $y = - 5$

B) Domain: $( - \infty , \infty )$
; Range: $( - 5 , \infty )$
; Asymptote: $y = 5$

C) Domain: $( - 5 , \infty )$
; Range: $( - 5 , \infty )$
; Asymptote: $y = - 5$

D) Domain: $( - \infty , \infty )$
; Range: $( - \infty , \infty )$
; Asymptote: $\text { no asymptote }$

E) none of these