244,694 views
44 votes
44 votes
How do you know if a function is a growth

function?

A. a > 1
B. b> 1
C. 0 < b < 1

User Corey Ross
by
2.8k points

1 Answer

27 votes
27 votes

Answer:

B. b > 1

Explanation:

When the function is ...

f(x) = a·b^x

it is a growth function when b > 1, and a decay function when b < 1.

__

Additional comment

If you have f(x) = a·b^-x with a negative multiplying the exponent, it is equivalent to a·(1/b)^x, which will be a growth function if (1/b) > 1, or b < 1. In short, pay attention to the sign of the exponent as well as the base value.

User Neitsa
by
2.8k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.