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Consider the function defined by inputs that are the lengths of the radii of a circle, and outputs that are the areas of those circles. Write the equation for this function and investigate it completely.

Begin by making a table. Let be the radius. Let be area.

Choose several values of . The area of a circle is

Your investigation should include at least:
An equation in terms of and
A graph
Domain and Range
A description of the growth

What else does your class list for Investigating a Function include?