Higher June 2017 Paper 3 Q21

AQACurrent spec1 markQuadratic Inequalities

21 Here is a sketch of \(\quad y = \mathrm{f}(x) \quad\) where \(\mathrm{f}(x)\) is a quadratic function.

The graph intersects the \(x\)-axis where \(\quad x = -2.5 \quad\) and \(\quad x = 1\)

Sketch of an upside-down U-shaped curve crossing the x-axis at -2.5 and 1, with its maximum above the x-axis just left of the y-axis

Not drawn accurately

Circle the solution of \(\;\mathrm{f}(x) \gt 0\) [1 mark]

  • \(x \lt -2.5\;\) or \(\;x \gt 1\)
  • \(x \gt -2.5\;\) or \(\;x \gt 1\)
  • \(-2.5 \lt x \lt 1\)
  • \(x \gt -2.5\;\) or \(\;x \lt 1\)