Reciprocal Graphs Practice Worksheet

Ivan·

Functions

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At a Glance

SubjectFunctions

Original Prompt

create an independent worksheet for Year 10 Set 1 on reciprocal graphs where they work through them. The questions should be simple such as sketch y=x/1, and identify which of the graphs is reciprocal, and maybe using the graph to find x and y points

This document covers the properties and sketching techniques for reciprocal functions of the form y = k/x. It includes learning objectives for sketching graphs and identifying characteristics such as asymptotes and coordinate points. Students will learn to recognize the shape of the hyperbola formed by these functions and to find the asymptotes (vertical and horizontal). The resource features worked examples, practice exercises, and tasks to aid in reading coordinates from reciprocal graphs. Additionally, it incorporates a mixed practice section focusing on identification, sketching, and understanding shifts in reciprocal functions.