Sketch the graph of y=∣x∣+3y = |x| + 3y=∣x∣+3 and explain why ∣x∣+3≥∣x+3∣|x| + 3 \geq |x + 3|∣x∣+3≥∣x+3∣ for all real values of xxx.
471 exam-style questions on Edexcel A Level Maths Functions and Graphs, covering 2.1 The Modulus Function, 2.2 Functions and Mappings, 2.3 Composite Functions, 2.4 Inverse Functions, 2.5 y=|f(x)| and y=f(|x|), 2.6 Combining Transformations, and 2.7 Solving Modulus Problems. Each one has a worked solution and a mark scheme showing where the marks go.