Answer:
Option 2
Step-by-step explanation:
To find : Which is an exponential growth function?
Solution :
The exponential function general form is [tex]f(x)=ab^x[/tex]
When b>1 then the function is exponentially grow.
When b<1 then the function is exponentially decay.
1) [tex]f(x)=6(0.25)^x[/tex]
On comparing with general form, a=6 and b=0.25<1.
Function is not exponential growth function.
2) [tex]f(x)=0.25(5.25)^x[/tex]
On comparing with general form, a=0.25 and b=5.25>1.
Function is an exponential growth function.
3) [tex]f(x)=(-4.25)^x[/tex]
On comparing with general form, a=1 and b=-4.25<1.
Function is not exponential growth function.
4) [tex]f(x)=(-1.25)^x[/tex]
On comparing with general form, a=1 and b=-1.25<1.
Function is not exponential growth function.
Therefore, option 2 is correct.
