Functions

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What is a function?

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A function is a relation that assigns exactly one output for each input from a set of inputs.

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How can you determine if a set of ordered pairs is a function?

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A set of ordered pairs is a function if no two different pairs have the same first element.

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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 graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

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What is the domain of a function?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.

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What is the range of 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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What does it mean for a function to be linear?

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What is a mapping in the context of functions?

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A mapping describes how each element of a set (domain) is paired with an element of another set (range).

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

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What is a quadratic function?

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