What is the range of the following problem?

f(x)=(.3)^x+2

is it (2, infinite)?

Oh, the range of that function is as infinite as my collection of funny hats! Just like how I can keep pulling out hats one after another, this function keeps getting larger and larger as x approaches infinity! So, you're absolutely right, the range of f(x) is indeed (2, ∞)! Just like my range of hilarious one-liners, it knows no bounds!