Functions before Spring break!

 So here we are, a few days since our last class in the middle of Spring break. I announced that I was pushing the exam to the Wednesday after Spring break. I could perceive the joy after the news. 

This Monday 4/3, we continued talking about functions. We stressed key definitions related to functions such as: 

• domain 
• codomain 
• range
• image
• preimage
• one-to-one functions
• onto functions
• bijection 
• inverse functions

I kept stopping to check if students were getting the basics. We worked on examples where a subset A of the domain was given and we needed to determine f(A). 

We also discussed that functions should come with the domain and codomain. I used lots of Venn diagrams to explain one-to-one and onto functions. Can we have a one-to-one function that is not onto and vice-versa?  Bijections were easy to grasp for students and we introduced the inverse of a function and why bijective functions are guaranteed to possess an inverse. 

Next class, we might review how to find the inverse of a function (provided it exists) and review for the exam. 

https://www.teacherspayteachers.com/Product/Spring-Break-Math-Practice-Packet-Common-Core-Aligned-622786

Wishing you a happy and mathematical Spring break!