Which statement best describes the conditions for f(x)=a(b)x

Question

to be a model for exponential growth?

(1 point)
Responses

b>0

b > 0

b<0

b < 0

0<b<1

0 < b < 1

b>1

Answer 1

To determine the conditions for the function \( f(x) = a(b)^x \) to be a model for exponential growth, we need to consider the value of \( b \).

An exponential growth model occurs when the base \( b \) is greater than 1. Thus, as \( x \) increases, \( f(x) \) will grow rapidly.

Therefore, the correct statement to describe the conditions for \( f(x) \) to represent exponential growth is:

b > 1