Solution to Draw the graph of the function f(n) = 1 - n 2 from the set … - Sikademy
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Archangel Macsika

Draw the graph of the function f(n) = 1 - n 2 from the set of integers to set of integers.

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The function f(n)=1-n^2, n\in\Z is not one-to-one:

f(-1)=1-(-1)^2=0

f(1)=1-(1)^2=0

Hence f(-1)=0=f(1), but (-1\not=1)

The function f(n)=1-n^2, n\in\Z is not onto:

there is no integer n with f(n)=1-n^2=2, for instance.

If n\in\Z, then -n\in\Z and


f(-n)=1-(-n)^2=1-n^2=f(n), n\in\Z

The function f(n)=1-n^2, n\in\Z is even.



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Question ID: mtid-5-stid-8-sqid-3761-qpid-2460