### Home > CCA2 > Chapter 5 > Lesson 5.2.2 > Problem 5-79

5-79.

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. Homework Help ✎

Begin by making a table. Let *x* be the radius. Let *y* be area.

Choose several values of *r*. The area of a circle is *A* = π*r*²

Your investigation should include at least:

An equation in terms of *x* and *y*

A graph

Domain and Range

A description of the growth

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

*y* = *πx*^{2}