Question

Compare the growth factors of the exponential functions f(x) and g(x).

The growth factor of f(x) is _____ the growth factor of g(x).
a) greater than
b) equal to
c) less than
d) none of the above

Answer 1

The growth factor of f(x) is greater than the growth factor of g(x).

Step-by-step explanation:

The growth factor of f(x) is greater than the growth factor of g(x).

Exponential functions can be written in the form of f(x) = a * b^x, where a is the initial value and b is the growth factor. With this in mind, let's compare the growth factors of f(x) and g(x).

Let's say the growth factor of f(x) is b1 and the growth factor of g(x) is b2. Since the growth factor is the base of the exponential function, if b1 is greater than b2, then the function f(x) will grow at a faster rate compared to g(x). Therefore, the correct answer is option a) greater than.