Answer:
Option c: all real numbers greater than 0
Step-by-step explanation:
we have
[tex]f(x)=\frac{1}{7}(9^{x})[/tex]
This is a exponential function of the form
[tex]f(x)=a(b^{x})[/tex]
where
a is the initial value (y-intercept)
b is the base
r is the rate
b=(1+r)
In this problem we have
a=1/7
b=9
r=b-1 ----> r=9-1=8 -----> r=800%
using a graphing tool
see the attached figure
The domain is the interval ------> (-∞,∞)
The domain is all real numbers
The range is the interval ---------> (0,∞)
The range is all real numbers greater than zero
