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.
Looking forward, students can progress with more functions worksheets to additional algebra worksheets, for example a simplifying expressions worksheet or simultaneous equations worksheet.
For more teaching and learning support on Algebra our GCSE maths lessons provide step by step support for all GCSE maths concepts.
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