Functions and graphs — Grade 12 Mathematics Notes

Comprehensive CAPS-aligned study notes for Functions and graphs in Grade 12 Mathematics. Browse the sections below to find detailed explanations, worked examples, and exam preparation material.

Sections in Functions and graphs

What is a Function?

What is a Function? Every time you calculate the cost of airtime, predict how far a car will travel, or figure out the interest on a savings account, you are working with functions. Functions…

Function Notation

Function Notation When you write function notation, you are giving a function a name and clearly showing the relationship between the input and the output. Instead of writing equations with just x…

The Basic Functions, Formulas and Graphs

The Basic Functions, Formulas and Graphs In Grade 12, you must be able to identify, sketch, and analyse four families of functions: linear (straight line), quadratic (parabola), hyperbolic, and…

Inverse Functions

Inverse Functions An inverse function reverses the operation of the original function. If $f$ takes an input and gives an output, the inverse $f^{-1}$ takes that output and returns the original…

Frequently Asked Questions

What is covered in Functions and graphs for Grade 12 Mathematics?

The Functions and graphs section covers all key concepts from the Grade 12 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

Are the Functions and graphs notes free?

Yes! All Grade 12 Mathematics Functions and graphs notes on Hlayiso are free to read. Sign up to track your progress and access interactive quizzes.

How do these notes help with exam preparation?

Our Functions and graphs notes are CAPS-aligned and include worked examples, common mistakes to avoid, and exam tips — everything you need to prepare for your Grade 12 Mathematics exams.

Are there quizzes for Functions and graphs?

Yes! Hlayiso provides interactive quizzes for Functions and graphs in Grade 12 Mathematics. Test your understanding after reading the notes.

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The Logarithmic Function

The Logarithmic Function The logarithmic function is the inverse of the exponential function. In the previous section, we saw that the inverse of $y = b^x$ is $y = \log_b x$. Now we study the…