Question

Which is an exponential growth function?

A) f(x) = 6(0.25)x
B) f(x) = 0.25(5.25)x
C) f(x) = –4.25x
D) f(x) = (–1.25)x

Answer 1

f(x) = 0.25(5.25)ˣ

Explanation:

In order to show exponential growth, the numbers must be positive and the base of the exponent must be larger than 1.

Think of it as a percentage. The base of the exponent will be the percentage of the original amount taken each time; if it is less than 1.00 then it would shrink. Larger than 1.00 will grow. The only one with positive numbers and a growth factor of greater than 1 is f(x) = 0.25(5.25)ˣ.