Answer :
The function that represents an exponential decay is the last one:
f(x) = 2*(2/3)^x
What is exponential decay function?
A exponential decay is a function that, as the name implies, decays exponentially. So it decays fast at the beginning and slower as the value of the variable increases.
The form of the general exponential decay is:
f(x) = A*(r)^x
Where A is the initial value, x is the variable, and r is the rate at which it decreases, where r must be a number between 0 and 1.
The given options are:
f(x) = (1/2)*2^x
f(x) = (3/4)*(-1/5)^x
f(x) = 3*(7/2)^x
f(x) = 2*(2/3)^x
Because r must be between zero and one, the only option that meets that requirement is the last one, where r = 2/3.
Then the function that represents an exponential decay is the last one:
f(x) = 2*(2/3)^x
To learn more about the exponential decay function from the given link
brainly.com/question/19599469
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Question:
Which function represents exponential decay? f(x) = One-half(2)x f(x) = Three-fourths(Negative one-fifth)x f(x) = 3(Seven-halves)x f(x) = 2(Two-thirds)x
