Question

Which is an exponential decay function?
O f(x)
f(x) = 1 (7)
Fx) = $()
O
Of(x) = (-3)

Answer 1

Answer:

I think C is correct answers im not sure though

Answer 2

The only given function that is an exponential decay function is;

C:  f(x) = ³/₂(⁸/₇)⁻ˣ

Exponential decay function

Now, the general formula for exponential decay function is;

f(x) = abˣ

where b is the decay factor.

Now, the decay factor which we will call the base of the exponent must be greater than 1 .

Also, the exponent x must be negative to be called an exponential decay function.

Looking at the given options, only Option C meets the criteria for an exponential decay function.

The given options are;

A) f(x) = ³/₄(⁷/₄)ˣ

B) f(x) = ²/₃(⁴/₅)⁻ˣ

C) f(x) = ³/₂(⁸/₇)⁻ˣ

D) f(x) = ¹/₃(-⁹/₂)ˣ

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