Answer:
[tex](0, \infty)[/tex]
Step-by-step explanation:
By definition all the exponential functions of the form
[tex]f (x) = a (b) ^ x[/tex]
Where a is the main coefficient and b is the base they have range [tex](0, \infty)[/tex]
Whenever [tex]a> 0[/tex] and b> 0.
In this case the function is:
[tex]f (x) = 11(\frac{1}{3}) ^ x[/tex]
Note that for this function [tex]a = 11> 0[/tex] and [tex]b =\frac{1}{3}>0[/tex]
Therefor the range is: [tex](0, \infty)[/tex]
