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Reciprocal Function Transformations Review

Author

Nicole

Subject

Mathematics

Prompt used to create this resource

can you make me a review of reciprocal function with transformations. about 10 questions some with the graph given and some where they are asked to make the graph from the equations.

Description

This learning resource focuses on reciprocal function transformations, detailing how students can identify and sketch graphs based on their corresponding equations. It includes a transformation reference table that explains the parameters affecting the parent function f(x) = 1/x, such as vertical and horizontal shifts, reflections across the x-axis, and the impacts of the parameters a, h, and k on the graph. The resource is organized into three parts: identifying graphs from given asymptotes, a worked example showcasing the step-by-step process of sketching, and exercises that challenge students to apply these concepts in practice. The document culminates in a challenge task where students find the equation of a rational function based on certain criteria, encouraging a deeper understanding of function transformations and their graphical representations.

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