# Functions and graphs notes

> CAPS-aligned study notes for Functions and graphs in Grade 11 Mathematics. Browse the sections below for explanations, worked examples and exam preparation.

- Page: https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs

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## Sections in Functions and graphs

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- [The Parabola: y = a(x + p)² + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-parabola-y-ax-p-q) — The Parabola: y = a(x + p)² + q The parabola is one of the most important curves in mathematics. It describes the path of a projectile, the shape of satellite dishes, and many real-world phenomena.…
- [The Hyperbola: y = a/(x + p) + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-hyperbola-y-ax-p-q) — The Hyperbola: y = a/(x + p) + q The hyperbola is a curve made up of two separate branches that never touch. You encounter hyperbolas in real-world situations such as the relationship between speed…
- [The Exponential Function: y = a·b^(x+p) + q](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/the-exponential-function-y-abxp-q) — The Exponential Function: y = a·b^(x + p) + q Exponential functions model situations where quantities increase or decrease by a constant factor, such as population growth, radioactive decay, and…
- [Average Gradient of a Curve](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/average-gradient-of-a-curve) — Average Gradient of a Curve The gradient of a straight line is constant, but a curve has a gradient that changes from point to point. To measure the steepness of a curve between two points, you…
- [Trigonometric Functions and Their Graphs](https://www.hlayiso.com/grade-11/mathematics/notes/functions-and-graphs/trigonometric-functions-and-their-graphs) — Trigonometric Functions and Their Graphs Trigonometric functions describe periodic behaviour: patterns that repeat at regular intervals. From the motion of a pendulum to sound waves and seasonal…

## Other Mathematics topics

- [Algebraic expressions, equations and inequalities](https://www.hlayiso.com/grade-11/mathematics/notes/algebraic-expressions-equations-and-inequalities)
- [Number patterns](https://www.hlayiso.com/grade-11/mathematics/notes/number-patterns)
- [Finance, growth and decay](https://www.hlayiso.com/grade-11/mathematics/notes/finance-growth-and-decay)
- [Probability](https://www.hlayiso.com/grade-11/mathematics/notes/probability)
- [Statistics](https://www.hlayiso.com/grade-11/mathematics/notes/statistics)
- [Analytical Geometry](https://www.hlayiso.com/grade-11/mathematics/notes/analytical-geometry)
- [Trigonometry](https://www.hlayiso.com/grade-11/mathematics/notes/trigonometry)
- [Euclidean Geometry](https://www.hlayiso.com/grade-11/mathematics/notes/euclidean-geometry)

## Frequently asked questions

### What is covered in Functions and graphs for Grade 11 Mathematics?

The Functions and graphs section covers all key concepts from the Grade 11 Mathematics CAPS curriculum, including detailed explanations, worked examples, and exam preparation tips.

### Are the Functions and graphs notes free?

Yes. Each section has a free preview, and a free Hlayiso account lets you read the full notes.

### 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 11 Mathematics exams.

### Are there quizzes for Functions and graphs?

Yes. Hlayiso has quizzes for Functions and graphs in Grade 11 Mathematics. Test your understanding after reading the notes.

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