ANSWER
f(x) is an odd function.
EXPLANATION
The given function is symmetric with respect to the origin.
Hence it is an odd function.
We can also see from the graph that,
[tex]f(1) = 2[/tex]
and
[tex]f( - 1) = - 2[/tex]
This implies that,
[tex]f( - 1) = - f(1)[/tex]
Since
[tex]f( - x) = - f(x)[/tex]
the function is odd.
The correct answer is A.
