Question

which type of function is shown in the image? cube root function square root function quadratic function cubic function

Explanation:

The graph has a shape that matches the cube root function: it is defined for all real numbers, has a characteristic "S-like" curve with a horizontal stretch before rising, which aligns with $f(x)=\sqrt[3]{x}$ or its transformed form. Square root functions are only defined for non-negative $x$, quadratic functions form parabolas, and cubic functions have a steeper, continuous increasing/decreasing curve without this specific flat transition.

Answer:

A. Cube root function