1. The problem asks to identify the graph corresponding to the function $$f(x) = \sqrt[3]{x}$$, which is the cube root function. 2. The cube root function is defined for all real numbers and has the property that it passes through the origin (0,0). 3. Its shape is an increasing curve that is symmetric about the origin, meaning it is an odd function: $$f(-x) = -f(x)$$. 4. For negative values of $x$, $f(x)$ is negative, and for positive values of $x$, $f(x)$ is positive. 5. The function grows slowly for large $|x|$ and passes through points like $(-8, -2)$, $(0,0)$, and $(8,2)$. 6. Among the given graphs: - Graph 1 (top-left) shows a green curve passing through the origin and increasing gently from negative to positive values, consistent with the cube root shape. - Graph 2 (top-right) shows a curve decreasing from positive to negative values, which does not match. - Graph 3 (bottom-left) shows a steeply increasing curve, not symmetric about the origin. - Graph 4 (bottom-right) shows a curve crossing the origin and increasing but with a different shape. 7. Therefore, the correct graph corresponding to $$f(x) = \sqrt[3]{x}$$ is Graph 1 (top-left). Final answer: Graph 1 (top-left) corresponds to the function $$f(x) = \sqrt[3]{x}$$.