A precision sensor calculates the deviation D D\,D in the flow rate f f\,f of a lubricant in an industrial engine. This deviation is modeled by the function D(f)=∣4f−3k∣D(f) = |4f - 3k|D(f)=∣4f−3k∣, where k k\,k is a positive constant and f≥0f \ge 0f≥0.
Sketch the graph of D D\,D against fff. Show clearly on your sketch the coordinates of the points where the graph intersects or meets the coordinate axes.
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.