Functions and graphs — Grade 11 Mathematics Notes

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

Sections in Functions and graphs

The Parabola: y = a(x + p)² + 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

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

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

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…

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?

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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.

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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…