Question

How do you know if a function is a growth

function?

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

Answer 1

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.

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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.