Finch made the table below to compare two functions

Which statement is true according to Finch’s table?

f(n) has larger output values as n increases.

Step-by-step explanation:

Priya is comparing two functions: and g(n)=3(2n)  

To find out which has greater output values as n gets very large and which has larger output values :

and g(n)=3(2n)  

Put n=1 we get

and g(1)=3[2(1)]

f(1)=10 and g(1)=6

Put n=2 we get

and g(2)=3[2(2)]

f(2)=10(4) and g(2)=3.(4)

f(1)=40 and g(1)=12

and so on

Therefore the f(n) has greater output values as n gets large value

Therefore f(n) has larger output values