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GCE Mathematics 1989 Question 7

Question 7

Graphs of Functions

The graph below is that of a quadratic function y = 2x2 − x − 6. Use the information provided by the graph. The roots of the equation are

Diagram for this question
  1. A.1.5, 2
  2. B.−1.5, 2
  3. C.1, −6
  4. D.1, 6
  5. E.−1, 6
Show the answer and explanation

Answer: B (−1.5, 2)

Explanation

The roots are where the curve crosses the x-axis: x = −1.5 and x = 2. Check: 2x2 − x − 6 = (2x + 3)(x − 2).