Functions and Graphs
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Question 41
The diagram shows a sketch of y=2∣x−4∣−7y = 2|x - 4| - 7y=2∣x−4∣−7
The vertex of the graph is at point PPP.
a.[2]
Find the coordinates of point PPP.
b.[2]
Solve the equation 9−x=2∣x−4∣−79 - x = 2|x - 4| - 79−x=2∣x−4∣−7
c.[3]
A line l l\,l has equation y=axy = axy=ax, where a a\,a is a constant. Given that l l\,l intersects y=2∣x−4∣−7y = 2|x - 4| - 7y=2∣x−4∣−7 at least once, find the range of possible values of aaa, writing your answer in set notation.
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.