Question

The table shows the function g(x).

Select from the door ton 9 (2).
9(2)
Select from the drop-down menu to correctly
compare the growth factors for the exponential
functions g(x) and f(x) = 4(3)".
The growth factor of f (2) is Choose.
the growth factor of g(x).

Answer 1

The growth factor of
`$ f(x) $` is one less than the growth factor of
`$ g(x) $`.

Explanation:

In an exponential function, say h(x) = a(b)ˣ the value 'b' is called the growth factor.

Therefore, here the function
`$ f(x) = 4 (3)^x $`. So, the growth factor of f(x) = 3.

Note that g(x) = 3(4)ˣ.

The growth factor of g(x) is 4.

Therefore, we can say that the growth factor of f(x) is one less than the growth factor of g(x).