Is it a Function

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What is a function?

Back

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

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What does it mean if a relation is not a function?

Back

A relation is not a function if at least one input (x-value) is associated with multiple outputs (y-values).

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How can you determine if a graph represents a function?

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

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What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a graph is a function by checking if a vertical line crosses the graph more than once.

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What is a mapping diagram?

Back

A mapping diagram visually represents the relationship between inputs and outputs, showing how each input is paired with outputs.

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Does the mapping diagram represent a function if an input has multiple outputs?

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No, if an input has multiple outputs, the mapping diagram does not represent a function.

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What is an example of a function?

Back

An example of a function is the relation {(1, 2), (2, 3), (3, 4)} where each x-value has one unique y-value.

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What is an example of a relation that is not a function?

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An example of a relation that is not a function is {(1, 2), (1, 3)} where the input 1 has two different outputs.

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How can you tell if a table of values represents a function?

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A table represents a function if no x-value is repeated with different y-values.

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What is the definition of an input in a function?

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An input is the x-value in a function that is paired with an output (y-value).