A hyperboloid is injective and surjective.

Alone, dissatisfied;

X> when =0, y=2x+ 1, and this part of the result is {1, 3,5,7,9 ...}.

X<0 When y=|2x|+2, this part of the result is {4,6,8, 10, 12...}

Bijective:

X> when =0, y=2x+ 1, and this part of the result is {1, 3,5,7,9 ...}.

X<0, y=|2x|, and this part of the result is {2, 4, 6, 8, 10, 12...}