Functions and Graphs
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Question 196
The curve has a maximum point A (−1,3)(-1, 3)(−1,3) and a minimum point B (4,−2)(4, -2)(4,−2). Showing the coordinates of any stationary points, on separate diagrams sketch the graphs of
a.[3]
y=3f(2x)y = 3f(2x)y=3f(2x)
b.[3]
y=f(∣x∣)y = f(|x|)y=f(∣x∣)
c.[2]
Write down the constants a a\,a and b b\,b such that the curve with equation y=f(x+a)+by = f(x + a) + by=f(x+a)+b has a minimum point at the origin OOO.
Functions and Graphs Questions
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.