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

How can you determine if a graph represents 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 definition of 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 definition of 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

What does it mean for a relation to be a function?

Back

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

Front

What is the difference between a function and a non-function?

Back

A function has a unique output for each input, while a non-function may have multiple outputs for a single input.

Front

What is an example of a non-function?

Back

A relation where an x-value is paired with more than one y-value, such as {(1, 2), (1, 3)}.

Front

What is the significance of the x-value in a function?

Back

The x-value (input) determines the corresponding y-value (output) in a function.

Front

How can you identify a function from a mapping diagram?

Back

In a mapping diagram, a function is identified if each input is connected to exactly one output.

Front

What is a vertical line test?

Back

The vertical line test is a method to determine if a graph is a function by checking if any vertical line intersects the graph more than once.