Understanding Functions and Their Components

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What is a function?

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A function is a relation that assigns exactly one output (dependent variable) for each input (independent variable).

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What are the components of a function?

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The main components of a function are the input (x), output (y), and the rule that defines the relationship between them.

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What is the domain of a function?

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

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What is the range of a function?

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

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What does it mean for a function to be linear?

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What is the difference between independent and dependent variables?

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The independent variable is the input of the function (x), while the dependent variable is the output (y) that depends on the input.

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What is a quadratic function?

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What is the vertex of a parabola?

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The vertex is the highest or lowest point of a parabola, depending on its orientation.

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