Which function below represents exponential decay? ƒ(x) = 0.5(2)xƒ(x) = 4(0.25)xƒ(x) = 2(1.3)xƒ(x) = (-3)x

Option 2 -The function represent the exponential decay is  

Step-by-step explanation:

To find : Which function below represents the exponential decay.

Solution :

The exponential function is in the form

where a is the initial value a≠0 and b is the growth or decay factor b>0, b≠0

If the function is exponentially grow then b>1

If the function is exponentially decay then b<1

Now we check given functions by comparing the given exponential function and note the nature of b.

1)

a=0.5 , b=2>1

Exponentially grow

2)

a=4 , b=0.25<1

Exponentially decay

3)

a=0.5 , b=1.3>1

Exponentially grow

4)

a=1 , b=-3 (negative)

Does not exist

Therefore, Option 2 - The function represent the exponential decay is  

i would need to see the dot plot : )

boxplot