Algebra-2

Let's compare the growth rates of the given functions as :

 

The function grows exponentially, which is very fast.

The term grows linearly, which is much slower compared to .

As , dominates, so grows exponentially at the same rate as .

 

This is an exponential function with base 5. It grows exponentially with a larger base than , so it will grow faster than .

 

This is an exponential function with base 3, which grows faster than (because 3 > 2).

The constant factor does not affect the growth rate in the long term.

 

This can be rewritten as

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