Flashcard 3-1: Relations & Functions REVIEW

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

What is a function?

Back

A function is a special type of relation where each input (x) is associated with exactly one output (y).

Front

How can you determine if a relation is a function?

Back

Use the vertical line test: if a vertical line intersects the graph of the relation at more than one point, it is not a function.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x) for the function.

Front

What is the range of a function?

Back

The range is the set of all possible output values (y) that the function can produce.

Front

True or False: The domain and range of a function always have the same number of unique values.

Back

False.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, represented by the equation y = mx + b.

Front

What is a coordinate point?

Back

A coordinate point is a pair of numbers (x, y) that represent a location on a Cartesian plane.

Front

What is an ordered pair?

Back

An ordered pair is a pair of numbers (x, y) where the first number represents the x-coordinate and the second number represents the y-coordinate.

Front

What is the difference between independent and dependent variables?

Back

The independent variable is the input (x), while the dependent variable is the output (y) that depends on the input.