Answer
Not one-to-one.
Work Step by Step
By using the horizontal line test, since $y=0$ intersect the graph $f(x)$ at $(-1,0)$ and $(1,0)$, then $f(x) $ is not one-to-one.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.