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AED(د.إ)Mathematics Grade 12 Term 1 Lesson 4: Functions, Inverses, and Restricting Domains
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Resource Description
Topic: Understanding Functions, Inverses, and Domain Restrictions for One-to-One Functions
Duration: 1 Hour
CAPS Document Alignment: This lesson focuses on the definition of functions, the general concept of the inverse of a function, domain restrictions for ensuring the existence of an inverse function, and sketching graphs of functions and their inverses. This is a key topic in the Grade 12 South African Mathematics curriculum.
Lesson Outcomes
By the end of this lesson, learners should be able to:
- Understand the definition of a function and the concept of an inverse function.
- Recognize when a function is one-to-one and explain why the domain may need to be restricted to ensure that the inverse is also a function.
- Determine, sketch, and interpret the graphs of a function and its inverse, including:
- Linear functions
- Quadratic functions (with domain restrictions)
- Exponential functions.
