1. **Problem Statement:** We need to identify which function among $x^5$, $x^4$, $x^2$, and $x^3$ matches the given graph. 2. **Observations from the graph:** The curve passes through the origin $(0,0)$, extends steeply upward for positive $x$, and steeply downward for negative $x$. It is symmetric about the origin. 3. **Key properties of the functions:** - $x^2$ and $x^4$ are even functions, symmetric about the $y$-axis, and their graphs are always non-negative (no negative values). - $x^3$ and $x^5$ are odd functions, symmetric about the origin, meaning $f(-x) = -f(x)$. 4. **Matching the graph:** Since the graph is symmetric about the origin and extends downward for negative $x$, the function must be odd. 5. **Comparing $x^3$ and $x^5$:** Both are odd and pass through the origin. However, $x^3$ grows less steeply than $x^5$ for large $|x|$. The graph shows a typical cubic shape, which is characteristic of $x^3$. 6. **Conclusion:** The function graphed is $y = x^3$. Final answer: $$y = x^3$$