Answer:
f(x) = 7·4^(x-1)
Step-by-step explanation:
The f(x) values in the table increase by a factor of 4 when x increases by 1. This is characteristic of a geometric sequence. Here, the first term (x=1) has the value 7.
The general term (an) of a geometric sequence can be written as ...
an = a1·r^(n-1)
Here, the term corresponding to x=1 is 7, so we have a1=7, r=4, and the index of terms is given by x (not n). So, the function is ...
f(x) = 7·4^(x -1)
