Analyze and graph the function $y=\frac{x^3}{343}$. What symmetries does it exhibit, and during which intervals is it increasing or decreasing?

Symmetric about the $y$-axis, increasing for $(-\(\infty\), 0)$ and decreasing for $(0, \(\infty\))$

Symmetric about the $y$-axis, increasing for $(0, \(\infty\))$ and decreasing for $(-\(\infty\), 0)$

Symmetric about the origin, increasing for $(-\(\infty\), 0)$ and decreasing for $(0, \(\infty\))$

Symmetric about the origin, increasing for $(-\infty ,0)\cup (0,\infty )$