analyze-and-graph-the-function-yx3343yfracx3343-what-symmetries-does-it-exhibit-

Question

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

Accepted Answer

Graph of the function y=x³/343, showing its increasing and decreasing intervals and symmetries.

Symmetric about the origin, increasing for $open paren negative infinity comma 0 close paren union open paren 0 comma infinity close paren$

Answer

Graph of the function y=x³/343, showing its curve, axes, and grid lines for analysis of symmetries and intervals.

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

Answer

Graph of the function y=x³/343, showing its shape, symmetries, and intervals of increase and decrease.

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

Answer

Graph of the function y=x³/343, showing its increasing behavior and symmetry about the y-axis.

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

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