Growth factor is the factor by which the quantity is multiplied by itself by the number of times of that factor. The growth factor of the function is 6. Thus the option 3 is the correct option.
Given information-
The given function is,
[tex]f(x)=\dfrac{1}{3} \times (6)^x[/tex]
Growth factor is the factor by which the quantity is multiplied by itself by the number of times of that factor.
For a function,
[tex]A(x)=c\times a^x[/tex]
Here [tex]c[/tex] is the initial value and the [tex]a[/tex] is the growth factor of the function.
Compare given function with above function,
[tex]f(x)=\dfrac{1}{3} \times (6)^x[/tex]
Here 1/3 is the initial value of the function and 6 is the growth factor of the function.
Hence the growth factor of the function is 6. Thus the option 3 is the correct option.
Learn more about the growth factor here;
https://brainly.com/question/985668
