Question

Which function represents exponential decay?

Answer 1

Answer:

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

$y\:=\:a\left(1\:-\:r\right)^x\:\:$

where $a > 0$ and $0 < r < 1$

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

• Please note that an exponential function cannot have a base of 0, 1, or a negative value.

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.

Answer 2

Answer:

d. f(x) = 4(2/3)^x

Step-by-step explanation:

got it right on edge.