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Alex Ar [27]
3 years ago
11

Does the following equation represent growth or decay? y = 2(4)^-x

Mathematics
2 answers:
Molodets [167]3 years ago
4 0

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.

nasty-shy [4]3 years ago
3 0
I believe the correct answer from the choices would be the former. The expression y = 2(4)^-x would represent an exponential growth <span>considering there is multiplication involved. Hope this answers the question. Have a nice day. Feel free to ask more questions.</span>
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