Functions, Functions, Functions

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output (y-value) for each input (x-value).

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) is associated with exactly one output (y-value).

Front

What is a linear function?

Back

A linear function is a function that can be represented by a straight line on a graph, characterized by a constant rate of change.

Front

What is a nonlinear function?

Back

A nonlinear function is a function that does not form a straight line when graphed, indicating a variable rate of change.

Front

What does it mean for a graph to represent a function?

Back

A graph represents a function if any vertical line drawn through the graph intersects it at most once (Vertical Line Test).

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph represents a function; if a vertical line crosses the graph more than once, it is not a function.

Front

What are x-values in a function called?

Back

The x-values in a function are called the domain.

Front

What are y-values in a function called?

Back

The y-values in a function are called the range.