Question

a function F from set of natural number to integers f(x)=n-1/2 when n is odd =-n/2 when n is even

Answer 1

Answer:

hi here is ur answer..

Step-by-step explanation:

f(n)=

⎩

⎪

⎨

⎪

⎧

2

n−1

if n is odd

−

2

n

if n is even

∴f:N⟶I

f(1)=0,f(2)=−1,f(3)=1,f(4)=−2,f(5)=2,f(6)=−3 soon.

If this type of function every element of set A has a unique image in set B and there is no element left in set B. Hence f is one-one and onto function.