Answer:
Option 2 - [tex]f(x)=0.25(5.25)^x[/tex]
Step-by-step explanation:
To find : Which is an exponential growth function?
Solution :
Exponential growth function is defined as [tex]y=ab^x[/tex]
Where b=1+r is the growth rate function or b>1.
Now we compare all the given functions,
1) [tex]f(x)=6(0.25)^x[/tex]
Here, b<1 so it a exponential decay function.
2) [tex]f(x)=0.25(5.25)^x[/tex]
Here, b>1 so it a exponential growth function.
3) [tex]f(x)=-4.25x[/tex]
It is a linear function.
4) [tex]f(x)=(-1.25)^x[/tex]
Here, b<1 so it a exponential decay function.
Therefore, Option 2 is correct.
