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