Functions
Part 1: Theory
Gr 10

The Grade 10 Functions Theory module introduces learners to the fundamental concepts that underpin all function work in the senior grades. This chapter focuses on building a clear understanding of what a function is, how inputs and outputs relate, and how functions can be represented in different mathematical forms.

Learners explore key ideas such as domain, range, mappings, and the difference between functions and relations. The lessons cover interpreting tables, diagrams, equations, and graphs, helping students understand how the same function can be expressed in multiple ways. Emphasis is placed on recognising functional relationships, identifying whether a relation is a function, and understanding the importance of the vertical line test. Students also learn the vocabulary and notation used throughout the study of functions, ensuring a strong theoretical foundation.

By the end of this module, learners will be able to interpret and describe functions clearly, understand the structure of input–output relationships, and use correct notation confidently—providing the essential theoretical base for straight-line, parabolic, hyperbolic, and exponential functions studied later in Grade 10.