Question

Which is an exponential growth function?

Answer 1

Answer:

Option 2      

Step-by-step explanation:

To find : Which is an exponential growth function?

Solution :

The exponential function general form is $f(x)=ab^x$

When b>1 then the function is exponentially grow.

When b<1 then the function is exponentially decay.

1) $f(x)=6(0.25)^x$

On comparing with general form, a=6 and b=0.25<1.

Function is not exponential growth function.

2) $f(x)=0.25(5.25)^x$

On comparing with general form, a=0.25 and b=5.25>1.

Function is an exponential growth function.

3) $f(x)=(-4.25)^x$

On comparing with general form, a=1 and b=-4.25<1.

Function is not exponential growth function.

4) $f(x)=(-1.25)^x$

On comparing with general form, a=1 and b=-1.25<1.

Function is not exponential growth function.

Therefore, option 2 is correct.

Answer 2

The answer is f(x) = 0.25(5.25)x