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Properties of the Composition of Functions

Properties of the Composition of Functions

This task is designed to support students construction of functions as objects. Given properties of the composition of two functions, they must decide whether the individual functions must inherit these same properties.

a task about properties of the composition of two functions
This task was designed to support students' treatment of functions as objects and is based on the research findings of the following article:
Melhuish, K., Lew, K., Hicks, M. D., & Kandasamy, S. S. (2020). Abstract algebra students’ evoked concept images for functions and homomorphisms. The Journal of Mathematical Behavior60, 100806.