Which function represents exponential decay? O f(x) =1/2(3/2)x
O fx) =1/2(-3/2)x
O F(x)=4(-2/3)x
O F(x)=4(2/3)x

The function that represents exponential decay is since 2/3 is less than 1.

The standard expression for an exponential function is expressed as:

From the given options, we can see that the function that represents exponential decay is since 2/3 is less than 1.

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f(x) = 4(2/3)ˣ represents exponential decay.

Hence, option D is the correct function.

Step-by-step explanation:

The function of the form

where and

is called the exponential decay function.

If we replace base 'b' by 1 - r, then we get the decay function of the form

y = abˣ

where 0 < b < 1

Now, if we carefully observe, the function f(x) = 4(2/3)ˣ is the only option correct as

f(x) = 4(2/3)ˣ

here  0 < b < 1  and a > 0

Therefore, f(x) = 4(2/3)ˣ represents exponential decay.

Hence, option D is the correct function.

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step-by-step explanation:

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