### Home > INT3 > Chapter 2 > Lesson 2.2.2 > Problem2-62

2-62.

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

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 $A=\pi r^2$

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?

$y=\pi x^2$