Answer
False.
Work Step by Step
False. For example, $y=x^3$ is an odd function, while $(1,1)$ is on the curve, $(-1,1)$ is not.
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.