Question

What differentiates the shape of a graph of a square root function from the shape of a graph of a cube root function? Compare the graphs.

Answer 1

Both functions are increasing. However, a cube root function starts out flatter, then the curve gets more vertical, and then it flattens out again. A square root function starts out more vertical and then flattens out as the independent variable increases.

Explanation:

Answer 2

Square root function only continues in one direction forever whereas the cube root function continues in two directions forever.

Explanation: