Relations and Functions

Front

What is the range of a function?

Back

The set of all y-values that a function can output.

Front

What is a function?

Back

A relation where each input (x-value) has exactly one output (y-value).

Front

How can you determine if a relation is a function?

Back

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

Front

What is a mapping in the context of relations?

Back

A representation of how each element in the domain is paired with an element in the range.

Front

What is the domain of a function?

Back

The set of all x-values that a function can accept.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has one output, while a relation can have multiple outputs for a single input.

Front

What is an ordered pair?

Back

A pair of numbers (x, y) that represents a point in a coordinate system.

Front

What is a table of values in relation to functions?

Back

A table that lists pairs of input (x) and output (y) values for a function.

Front

What is a graph in the context of functions?

Back

A visual representation of the relationship between the x-values and y-values of a function.

Front

What does it mean for a relation to be one-to-one?

Back

Each element in the domain maps to a unique element in the range, and vice versa.