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Functions and Graphs

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Question 101
a.

The strength of a signal SSS detected by a proximity sensor is modeled by the function

S=13.5−∣1.5p−6∣ S = 13.5 - |1.5p - 6| S=13.5−∣1.5p−6∣

where ppp is the position of an object on a linear track. Sketch the graph of SSS against ppp, marking the coordinates of the vertex and any points where the graph intersects the coordinate axes.

[4]
b.

The sensor triggers an alarm when the signal strength is strictly less than 9 units. Solve the inequality

13.5−∣1.5p−6∣<9 13.5 - |1.5p - 6| < 9 13.5−∣1.5p−6∣<9

to find the range of values for ppp for which the alarm is active.

[3]

Functions and Graphs Questions

  1. A Level
  2. /Maths
  3. /Functions and Graphs

Practise Edexcel A Level Maths Functions and Graphs with exam-style questions for A Level Maths. 121 questions 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, matched to the Edexcel A Level Maths (9MA0) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

Question bank