Question

what is the domain and range of -4 + 3^(x+2)

Answer 1

There is no reason why any old x can not be used. Therefore domain is all real values of x.
However how could this function ever have a value less than negative 4? The second term is always positive, although it can be pretty small if x is a large negative number. Like 3^-50 = 1/3^50 which is pretty tiny.

Answer 2

so the range is y>-4

Answer 3

yes

Answer 4

Thanks Damon!