Sketch y=|linear| then solve equation or inequality (with unknown constants)

Sketch the graph of y = |linear expression| involving unknown constants (e.g. a, k), then solve a related equation or inequality in terms of those constants.

1 questions · Moderate -0.3

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CAIE P2 2024 March Q2
4 marks Moderate -0.3
  1. Sketch the graph of \(y = |3x - 7|\), stating the coordinates of the points where the graph meets the axes. [2]
  2. Hence find the set of values of the constant \(k\) for which the equation \(|3x - 7| = k(x - 4)\) has exactly two real roots. [2]