Help your students prepare for their Maths GCSE with this free function notation worksheet of 35 questions and answers
A function is a relationship between two variables. There is a special notation for writing functions, such as f(x) which is read as the ‘function of x’. Each function within a question may be represented by a different letter such as f, g or h.
Evaluating functions requires us to substitute a value for x in the algebraic expression. Functions may be linear expressions or more complex polynomials or even algebraic fractions.
Functions can be used to produce pairs of coordinates (ordered pairs) and thus used to produce graphs of functions. Linear functions produce straight line graphs and quadratic functions produce curves.
Inverse functions have a special notation which looks like f-1(x) and composite functions have a notation which looks like fg(x) which is read as ‘f of g of x’.
We can also use our knowledge of function notation to produce situations where equations can be formed and solved.
There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.
Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with our dedicated GCSE maths revision programme.
Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.