Question

a. Identify the Parent function of the given graphB. Into a more complete sentences compare contrast the domain in the range of the parent function with that of the given graph.

Answer 1

The parent function of the given graph is;

`f(x)=x^3`

The domain and range of the parent function in interval notation is

`\begin{gathered} \text{ Domain=(-}\infty,+\infty) \\ \text{Range}=(-\infty,+\infty) \end{gathered}`

The domain, that is the input values is all real numbers from infinity to infinity. Similarly, the range, that is the output values, also includes all real numbers from infinity to infinity.

This is because the ends of the graph extends continuously in both directions of the y-axis.

The domain and range of the parent function is the same as that shown on the graph.