When the radical of a radical function is a square root, it is called a square root function. The parent function of the square root function family is
When the radical is a cube root instead, it is called a cube root function. The parent function of the family of cube root functions is
With the help of tables, graph the given functions. Then, for both functions, give their following features:
We can now plot the corresponding points in a coordinate plane. Connecting the points with a smooth curve gives us the desired graph. Note that the function is not defined for less than
Notice that is a cube root function — it is defined for all values of Thus, we'll use both positive and negative values for the table.
Let's plot the points and connect them with a smooth curve. Since the domain of this function is all real numbers, the graph should continue infinitely in both directions.