How do you find the range of f(x)=3^(x+9)+4?

1 Answer
Nov 27, 2015

The range is x in (4;+oo)

Explanation:

The exponential fonction y=a^x has a range of (0;+oo).

The graph of function y=3^(x+9)+4 is the graph y=3^x moved 9 units to the left and 4 units up. Moving a graph of a function with bounded values up increases the boundaries, so f(x) has only values greater than 4.