The graph that best models the exponential function [tex]f(x) = 3(3)^{-x} = \frac{3}{3^x}[/tex] is graph A.
What is an exponential function?
An exponential function is modeled by:
[tex]y = ab^x[/tex]
In which:
- a is the initial value, that is, the value of y when x = 0.
In this problem, the function is:
[tex]f(x) = 3(3)^{-x} = \frac{3}{3^x}[/tex]
The initial value is:
[tex]f(0) = \frac{3}{3^0} = 3[/tex]
The x in the exponent is negative, which means that it is a decaying function, hence graph A is correct.
More can be learned about exponential functions at https://brainly.com/question/25537936
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