What you need to know
Check yourself against these “I can” statements.
- I can use the modulus function and sketch graphs like y = |f(x)| and y = f(|x|)
- I can explain the difference between a mapping and a function and find domain and range
- I can combine functions to make a composite function
- I can find an inverse function algebraically and from a graph
- I can apply two or more transformations to the same graph, including modulus graphs
Practise this topic
4 resourcesFunctions and Graphs: Spot the Mistake
A student’s working with a mistake a real student would make (or, about 1 in 8 times, no mistake at all): tap the line you think is wrong, or No mistake, then reveal it, the corrected working and why. One level for each part of…
📋 Unit reviewFunctions and Graphs: Exam Questions
Exam-style questions on the whole Functions and Graphs chapter, researched from real papers, with mark schemes in the examination’s notation (M, A, B, dM, ft, cso and the AO codes): the modulus function, modulus equations and…
⬢ BlockbustersFunctions and Graphs: Spot the Mistake Blockbusters
Blockbusters with the questions from the Functions and Graphs: Spot the Mistake worksheet: choose its levels for the ordinary hexagons and for the harder ★ ones. Show the answer and the worked solution, or play against the…
🧮 ToolGraph Plotter
A graphing calculator: type y = f(x), x = g(y), implicit relations such as x² + y² = 25, inequalities (shaded, dashed for < and solid for ≤), parametric and polar curves, points and tables, functions f(x) = … with f′(x), and…
These are the pages for Functions and graphs in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.