I'm sorry, but the policy you saw in the "Read Before Posting" announcement remains in effect; namely, we don't "do" students' work for them, nor do we provide complete solutions.Prove that the following function is bijective:
. . . . .\(\displaystyle f(x)\, =\, \begin{cases}x\, +\, 1,\, &\mbox{ if }\, x\, \mbox{is odd} \\ x\, -\, 1,\, &\mbox{ if }\, x\, \mbox{ is even}\end{cases}\)
Please provide stepwise answer.
ALSO please correct the notation. It cannot be that.f:R--R
f(x)={x+1, if x is odd , x-1, if x is even}