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1.5 B: Algebra and functions

1.5 B: Algebra and functions

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Question 328
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]
Markscheme

1.5 B: Algebra and functions Questions

  1. A Level
  2. /Maths
  3. /1.5 B: Algebra and functions

532 exam-style questions on AQA A Level Maths 1.5 B: Algebra and functions, covering 1.5.1 Laws of indices, 1.5.2 Surds, 1.5.3 Quadratic functions, 1.5.4 Simultaneous equations, 1.5.5 Linear and quadratic inequalities, 1.5.6 Polynomials and rational expressions, 1.5.7 Graphs of functions and proportion, 1.5.8 Composite and inverse functions (A-level only), 1.5.9 Transformations of graphs, 1.5.10 Partial fractions (A-level only), and 1.5.11 Functions in modelling (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

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