4.7 Linear Transformations and Domain & Range

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What is a linear transformation?

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A linear transformation is a function between two vector spaces that preserves the operations of vector addition and scalar multiplication.

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What is the parent function of a linear function?

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What does it mean to translate a function?

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Translating a function means shifting its graph horizontally or vertically without changing its shape.

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How do you determine 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 dilation mean in the context of functions?

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Dilation refers to the stretching or compressing of a function's graph vertically or horizontally.

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