Question

Which is an exponential decay function?

Answer 1

The best and most correct answer among the choices provided by the question is the second and third choice because these two formula are the same.
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Answer 2

Answer:

$f(x)=()^-x$

Step-by-step explanation:

Let us understand the exponential function. Here the exponential function is given as under.

$y=a^x$

Now this is an ever growing exponential function. It never decays unless we have

i) a<1

Hence in this case the function will decays

example

$f(x)=(\frac{2}{3})^x$

or

$f(x)=(-2)^x$

ii) x is a negative power.

Example

$f(x)=2^(-4)$

Now in our problem , the second and third options are same. Hence both can be true. So our answer is b

b) $f(x)=()^-x$