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.
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.