Relation is a function?

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What is a relation in mathematics?

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

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What is a function?

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

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What is the vertical line test?

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The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph of the relation at more than one point, it is not a function.

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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 (x-value) corresponds to more than one output (y-value).

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What is an example of a function?

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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 the set of points {(1, 2), (1, 3)}, where the input 1 corresponds to two different outputs.

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What is the definition of a domain in a function?

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The domain of a function is the set of all possible input values (x-values) that the function can accept.

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What is the definition of a range in a function?

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

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Can a function have multiple outputs for a single input?

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No, a function cannot have multiple outputs for a single input. Each input must correspond to exactly one output.

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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 is associated with exactly one input, meaning no two different inputs produce the same output.