Question

Which is a shrink of an exponential growth function?

f(x) = One-third(3)x
f(x) = 3(3)x
f(x) = One-third (one-third) Superscript x
f(x) = 3 (one-third) Superscript x

Answer 1

A vertical shrink of the exponential growth function y = 3^x is f(x) = (1/3)·3^x.

Reason: multiplying 3^x by the factor 1/3 reduces all y-values (a vertical shrink).
- 3·3^x is a vertical stretch.
- (1/3)·(1/3)^x = (1/3)^(x+1) and 3·(1/3)^x = 3·(1/3)^x both use base 1/3 (decay), not a shrink of the growth function 3^x.