Question

determine the domain, range, and horizontal asymptotes
f(x)=(5/2)^-x +4

Answer 1

1/(2.5^x) + 4

so 2.5^x can never be zero so domain - (-infinity,infinity)
range : notice that when x -> infinity the function approaches 4
and when x -> -infinity the function approaches infinity
so range (4,infinity)

horizontal asymptotes :
you ask your self what happens when the function goes to infinity,-infinity
so you have y=4