Functions
In this topic, we will look at
Equations of a Straight Line- Composite and Inverse Functions
- Quadratic Functions and the Discriminant
- Rational Functions
- Transforming Functions
- The Factor and Remainder Theorem
- Sums and Products of Polynomial Functions
On each page, you will find
- Video tutorials explaining key concepts.
- Concise revision notes providing you with reminders of all the key content you need
- Onscreen quizzes giving you instant feedback
- Exam style questions with hints, detailed solutions and explanation
Equation of a Straight Line
In this page, we will look at the different types of relations including functions. The first step to gaining a good understanding of functions is to think about inputs and outputs. Once that is...
Functions - The Basics
In this page, we will look at the different types of relations including functions. The first step to gaining a good understanding of functions is to think about inputs and outputs. Once that is...
Quadratics
On this page we will look at quadratic expressions and how the different factorised forms link to the shape of the graph. We will also get an understanding about how the discriminant affects not only...
Rational Functions SL
On this page, we will look at the properties of the reciprocal function and the rational function. You may be required to draw a sketch of these functions. In these cases, it is important to know how...
Rational Functions HL
On this page, we will look at the properties of the reciprocal function and rational functions. You may be required to draw a sketch of these functions. In these cases, it is important to know how to...
Transforming Functions SL
For the topic of transforming functions, we need to understand the effects that translating, reflecting and stretching have on functions. You may be asked to describe the transformations, sketch graphs...
Transforming Functions HL
For the topic of transforming functions, we need to understand the effects that translating, reflecting and stretching have on functions. On this page, we will also consider graphs of |f(x)| , f(|x|) , \dfrac{1}{f(x)} as...
Factor and Remainder Theorem HL
The Factor and Remainder Theorems form a small, but significant part of the course. They are not at all difficult, but it is worth reminding yourself of these theorems, since, in examinations, students...
Sums and Products of Roots HL
On this page, we learn all about roots of polynomial equations and how to use the formulae for the sum of the roots and the product of the roots. For the polynomial equation of degree n
Navigating the pages
Each of the topic pages is designed in the same way:
Had an explanation in class that you didn't quite understand? The short, high quality videos in this section will help you understand all the key concepts from each topic. Some are designed to explain concepts from the beginning and others are focussed on very specific skills and typical exam questions. All videos come with a set of notes that you can keep.
This section is all about getting practice. Before you try any exam-style questions, you will need a quick check to see if you have understood all the concepts from the page. These onscreen quizzes allow you to get just that. You can get instant feedback on your answers including advice about how to tackle the question and worked solutions.
This is the section where you can practise questions just like you the ones that you will get in the exam. If you need some help getting started, there are hints. Each question has a full solution with explanation
Each of the questions is marked by difficulty level
Easy
Medium
Hard