Sketch the graph of y=∣x∣+3y = |x| + 3y=∣x∣+3
Explain why ∣x∣+3≥∣x+3∣|x| + 3 \geq |x+3|∣x∣+3≥∣x+3∣ for all real values of xxx.
181 exam-style questions on OCR (MEI) A Level Maths 1.3 Functions, covering 1.3.1 Operations on polynomials, 1.3.2 Factor theorem, 1.3.3 Definition of a function (A-level only), 1.3.4 Composite functions (A-level only), 1.3.5 Inverse functions and their graphs (A-level only), 1.3.6 The modulus function (A-level only), 1.3.7 Inequalities with a modulus sign (A-level only), and 1.3.8 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.