Mod 1 - One-to-one functions

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What is a one-to-one function?

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A one-to-one function is a function where each output value is associated with exactly one input value. This means that no two different inputs produce the same output.

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How can you determine if a function is one-to-one using a graph?

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A function is one-to-one if any horizontal line drawn through the graph intersects it at most once. This is known as the Horizontal Line Test.

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What is the definition of a function?

Back

A function is a relation that assigns exactly one output value for each input value.

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What does it mean for a relation to not be a function?

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A relation is not a function if at least one input value is associated with more than one output value.

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What is the difference between a function and a one-to-one function?

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A function can have multiple inputs producing the same output, while a one-to-one function has unique outputs for each input.

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If a function passes the Vertical Line Test, what does that indicate?

Back

It indicates that the relation is a function, meaning each input has exactly one output.