a. identify the parent function of the given graph.
b. in two or more complete sentences, compare and contrast the domain and range of the parent function with the that of the given graph.

The parent function of given graph is

Domain is

Range is

Step-by-step explanation:

Given the graph below, we have to identify the parent function of given graph.

As the graph of cubic function goes from to and also crosses the x-axis minimum 1 time and maximum 3 times. The graph which is given shows the same behavior explained.

∴ the parent function of given graph is

The domain of a function is the complete set of possible values of the independent variable. hence, domain of   is

The above function is defined at all the values of x

∴ Domain is

The range of a function is the complete set of all the possible resulting values i.e all y-values.

also Range is

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