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Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value

This booklet serves as an essential guide to understanding parent functions in mathematics, specifically focusing on linear, quadratic, cubic, and absolute value functions. Each section provides a clear definition, examples, and key features such as domain, range, vertices, and lines of symmetry. Designed for educators and students alike, this resource simplifies the complexities of these fundamental functions, making them accessible to all learners. Ideal for enhancing comprehension and facilitating effective teaching in algebra and precalculus.

sharon-carney
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Parent Function Booklet: Linear, Quadratic, Cubic, Absolute Value

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  1. Parent Function Booklet:Linear, Quadratic, Cubic, Absolute Value October 22, 2014

  2. parent function: the most basic form of a function

  3. Page 1 - Linear f(x) = x x

  4. -3 -2 -1 0 1 2 3

  5. (-∞, ∞) or (-∞, ∞) or x: (0, 0), y: (0, 0) N/A

  6. Page 2 - Quadratic f(x) = x2 x2

  7. 9 4 1 0 1 4 9

  8. (-∞, ∞) or [0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0) N/A Vertex: (0, 0) Line of Symmetry: x = 0

  9. Page 3 - Cubic f(x) = x3 x3

  10. -8 -1 0 1 8

  11. (-∞, ∞) or (-∞, ∞) or x: (0, 0), y: (0, 0) N/A

  12. Page 3 – Absolute Value f(x) = |x| |x|

  13. 3 2 1 0 1 2 3

  14. (-∞, ∞) or [0, ∞) or y ≥ 0 x: (0, 0), y: (0, 0) N/A Line of Symmetry: x = 0

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