Respuesta :
Using exponential function concepts, it is found that the range of the function [tex]f(x) = -2(6)^x + 3[/tex] is given by:
[tex](-\infty, 3)[/tex]
What is an exponential function?
An exponential function is modeled by:
[tex]y = ab^x + c[/tex]
In which:
- a is the initial value.
- b is the rate of change.
- c is the vertical shift.
As for the range, we have that:
- If a > 0, the range is [tex](c, \infty)[/tex].
- If a < 0, the range is [tex](-\infty, c)[/tex].
In this problem, the function is given by:
[tex]f(x) = -2(6)^x + 3[/tex].
Hence the coefficients are a = -2 < 0, b = 6 and c = 3, and the range is given by:
[tex](-\infty, 3)[/tex]
More can be learned about exponential function concepts at https://brainly.com/question/25537936
