Now that we have a basic understanding of exponential functions, let's move on to another kind of relationship. As you work through the following problems, try to get a sense of how these relationships are different from both linear and exponential functions.

"Square numbers" describe the number of dots needed to make squares like the ones below. The first square number is 1, the second is 4, and so on. Note 9

Problem C1

Draw the next two squares in this pattern. Note 10

Problem C3

Graph the data in your table using graph paper or a spreadsheet, then describe your graph. How is it different from the linear and exponential graphs you've seen?

Problem C4

Describe a rule relating the number of dots on the side of a square (the independent variable) and the total number of dots (the dependent variable).

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