Functions

Please find links to key chapters from this area of the course below.

             

   

What is a linear function?

Linear functions are those which graph a straight line. Learn how to work with them here.

What is a function?

Functions have specific properties which distinguish them from relations. Learn all about them here.

What is some key features of functions?

Functions have specific features such as  stationary points, asymptotes and intercepts that we need to bear in mind. In an exam, you may also be asked to draw or sketch them.  Here is an introduction to the key features of functions and graphing.   

What are the features of quadratic models?

Quadratic graphs and equations have many interesting features, such as turning points and symmetry which make them very useful to solve real life problems Learn about quadratic models here 

What are the key features of trigonometric models?

Trigonometric models are used to model all sorts of real life situations such as tides, length of days, and even ferris wheels.  Find out about trigonometric models here.

What are exponential models for?

Exponential models are used to model many types of natural phenomena, such as population, spread of disease, and interest rates  Here is more about exponential models 



  • 2.1 & 2.2 Introducing Functions

    Functions are extraordinary algebraic and visual tools which allow us to understandĀ and analyse relationships. In this section you will learn exactly what a function is and how to find a function's inverse, alongside developing a more nuanced...

  • 2.3 & 2.4 Key Features of Functions And Graphing

    Now that we know something about the basics of functions, this section aims to helpĀ deepen your understanding of them and enable you to identify key features such as vertex points, intercepts with axes and asymptotes. You will also learn about...

  • 2.5 Linear models

    Commonly seen in the form y = f(x) = mx + c where m represents the gradient/rate of change of the function and c is the y-intercept, where x = 0. These models are a fundamental bit of algebra that come up again and again. they are also fairly...

  • 2.5 Quadratic Models

    Quadratic functions are in the form ax2 + bx + c, and have fascinated mathematicians for centuries. They have some fundamental properties that will explored in this unit. Probably the best known example of quadratic models are for projectiles....

  • 2.5 Exponential Models

    The exponential function is set apart from other families of functions because of the fundamental impact of having the variable in the exponent. It stops being a multiplier and starts being more 'powerful' (forgive the bad joke). These functions...

  • 2.5 Trigonometric Models

    The Mathematics of Periodic Phenomena Phenomena which display periodic nature, such as the motion of tides, the orbits of planets, or the spinning of a ferris wheel, that we can understand mathematically using trigonometic models. Once we develop...