[" Example "12" Show that "f:N rarr N," given by "],[qquad f(x)=[x+1," if "x" is odd,"],[x-1," if "x" is even "]]

Show that f : N rarr N given by : f(x) = {x+ 1, if x is odd x - 1 , if x is even is both one-one and onto.

Show that f:N rarr N given by f(x)={{:(x+1", if x is odd"),(x-1", if x is even"):} is both one-one and onto.

Show that f : NrarrN , given by : f(x) = {(x+1,,if x is odd,,),(x-1,,if x is even,,):} is both one-one and onto.

Show that f:N rarr N , given by f(x) = {:{(x+1, " if x is odd"),(x-1 , "if x is even"):} is both one - one and onto .

Show that f:Nto N, given by f (x) = x + 1 , if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Let f:N rarr N given by f(x)=x+(-1)^(x+1), then

Show that f : N rarr N given by f(x) = { ((x +1), if x is odd), ((x - 1), if x is even) :} is both one-one and onto.

Show that f:Nto N, given by x + 1, if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Show that f:Nto N, given by x + 1, if x is odd, f (x) = x -1, if x is even is both one-one and onto.

Show that f:Nto N, given by x + 1, if x is odd, f (x) = x -1, if x is even is both one-one and onto.