Relations and Functions

Front

What is a relation in mathematics?

Back

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

Front

What is a function?

Back

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

Front

How can you determine if a relation is a function?

Back

A relation is a function if no x-value is paired with more than one y-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) that the function can accept.

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.

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

Back

A function is one-to-one if each y-value is paired with exactly one x-value, meaning no two different x-values map to the same y-value.

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What is a vertical line test?

Back

The vertical line test is a method used to determine if a relation is a function by checking if any vertical line intersects the graph of the relation at more than one point.

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What is an example of a non-function relation?

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An example of a non-function relation is the set of points that form a circle, where multiple y-values correspond to the same x-value.

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What is an example of a function?

Back

An example of a function is the equation y = 2x + 3, where each x-value has a unique y-value.

Front

What is a mapping diagram?

Back

A mapping diagram visually represents a relation or function by showing how each input is paired with its corresponding output.