Priya is comparing two functions: f(n)=10⋅n2 and g(n)=3⋅2n to find out which has greater output values as n gets very large. Which has large

Question

Priya is comparing two functions: f(n)=10⋅n2 and g(n)=3⋅2n to find out which has greater output values as n gets very large. Which has larger output values?

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Raelynn 17 hours 2021-09-13T07:08:50+00:00 1 Answer 0

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    2021-09-13T07:10:11+00:00

    Answer:

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

    Step-by-step explanation:

    Priya is comparing two functions: f(n)=10n^2 and g(n)=3(2n)  

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

    f(n)=10(n^2) and g(n)=3(2n)  

    Put n=1 we get

    f(1)=10(1)^2 and g(1)=3[2(1)]

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

    Put n=2 we get

    f(2)=10(2)^2 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

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45:7+7-4:2-5:5*4+35:2 =? ( )