Finding a Relationship between x and y

1.3.1 Finding a Relationship between x and y

1.3.1 • Finding a Relationship between x and y

Here is a table of values. The two quantities, $x$ and $y$ , are related.

Table displaying pairs of (x, y) values, where the relationship between them is y = x^2 - 1.

What are some strategies you could use to find a relationship between $x$ and $y$ ? Brainstorm as many ways as possible.

Your answer may vary, but here are some samples:

See if there is an operation that could be done to $x$ that would produce $y$ .
Compare how the $x$ -values change and the $y$ -values change, and see if there is a pattern.
See if the numbers in one column follow a special pattern and if that pattern could be connected to the numbers in the other column.
Plot the $x$ - and $y$ -values on a coordinate plane and see if the graph looks like a familiar relationship.