Graphing Function Inverses

Sara·

Mathematics

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At a Glance

Grade Level8th Grade

SubjectMathematics

Original Prompt

Graphing Inverses Warm-Up: What happens when you swap x and y in (2,4)? Practice: Graph the original and inverse on the coordinate plane. Exit ticket: what line is symmetry line

This resource focuses on the concept of graphing inverse functions. It guides students through understanding the relationship between a function and its inverse by swapping x and y coordinates. The learning objective is to enable students to graph the inverse of a function while identifying the line y = x as the line of symmetry. The resource includes a warm-up activity exploring coordinate swapping, definitions of key vocabulary such as 'function', 'inverse', and 'line of symmetry', and structured activities including identifying inverse points, plotting them on a graph, and recognizing patterns. Students are encouraged to reflect on the symmetry and relationship between the coordinates of a function and its inverse to reinforce their understanding of this mathematical concept.