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JAMB Mathematics 1995 Question 14

Question 14

Graphs of Functions

The graph of f(x) = x2 − 5x + 6 crosses the x-axis at the points.

  1. A.(−6, 0), (−1, 0)
  2. B.(−3, 0), (−2, 0)
  3. C.(−6, 0)(1, 0)
  4. D.(2, 0), (3, 0)
Show the answer and explanation

Answer: D ((2, 0), (3, 0))

Explanation

Solve x² − 5x + 6 = 0: (x − 2)(x − 3) = 0, so x = 2 or 3. The points are (2, 0) and (3, 0).