4.2 Relations

Front

What is a relation in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

How do you represent a relation using a table?

Back

A relation can be represented in a table format where one column lists the inputs and another column lists the corresponding outputs.

Front

What is the domain of a relation?

Back

The domain is the set of all possible input values (x-coordinates) in a relation.

Front

What is the range of a relation?

Back

The range is the set of all possible output values (y-coordinates) in a relation.

Front

How do you find the range of a relation given a set of ordered pairs?

Back

To find the range, list all the unique y-values from the ordered pairs.

Front

What are the four quadrants in a coordinate plane?

Back

Quadrant I: (+, +), Quadrant II: (-, +), Quadrant III: (-, -), Quadrant IV: (+, -).

Front

In which quadrant is the point (6, 3) located?

Back

Quadrant I.

Front

What is the purpose of a table in representing data?

Back

A table organizes data in rows and columns, making it easier to read and analyze.

Front

If a person burns 85 calories per mile, how many calories are burned after running 3 miles?

Back

255 calories (85 calories/mile * 3 miles).

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) that represent a point in a coordinate plane.