Functions and Graphs · Algebraic Thinking

Characteristics of Functions

Understanding the concepts of domain, range, and the conditions for the existence of composite and inverse functions.

Key Questions

  1. 1How does the restriction of a domain allow a non-injective function to have an inverse?
  2. 2In what ways do the range of one function and the domain of another dictate the existence of a composite function?
  3. 3Why is the horizontal line test a sufficient condition for the existence of an inverse function?

MOE Syllabus Outcomes

MOE: Functions and Graphs - JC1
Level: JC 1
Subject: Mathematics
Unit: Functions and Graphs
Period: Algebraic Thinking

Suggested Methodologies

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