View attachment 35487
Would the best way for solving a question like be substituting random arbitrary points?
I would solve this by inspection.
what does y equal when x=0
You will eliminate A
Now look at what happens when you approach 0 from the left hand-side and right hand-side
Take C) as an example
as x -> 0^- then y->0^-
Therefore C) is eliminated
Now you need to decide for B)
Examine what happens as x->0^- and x->0^+
You will y is approaching 0 from above in both cases. Therefore B is eliminated.
You will see that D) is the only one that satisfies the criteria
Another alternative solution
could look at lim x-> infinity and whether function is odd or even