The cube root function is defined as \( f(x) = \sqrt[3]{x} \).
To find the point where the graph intersects the y-axis, we set \( x = 0 \):
\[ f(0) = \sqrt[3]{0} = 0 \]
Thus, the graph of the cube root function intersects the y-axis at the point (0, 0).
So, the point of intersection is \( (0, 0) \).