Answer:
Decay
Step-by-step explanation:
Given function,
[tex]y=2(4)^{-x}[/tex]
[tex]\implies y = 2(4^{-1})^x[/tex] [tex](\because a^{mn}=(a^m)^n)[/tex]
[tex]\implies y=2(\frac{1}{4})^x[/tex]
∵ An exponential function [tex]y=ab^x[/tex] is,
(i) Growth function : if b > 1
(ii) Decay function : if 0 < b < 1
Since, [tex]\frac{1}{4}[/tex] < 1
Hence, the exponential function [tex]y=2(4)^{-x}[/tex] is a decay function.
