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WAEC Further Mathematics 2022 Question 34

Question 34

Integration

The gradient of a function at any point (x, y) is 2x − 6. If the function passes through (1, 2), find the function.

  1. A.y = x2 − 6x − 5
  2. B.y = x2 − 6x + 5
  3. C.y = x2 − 6x − 3
  4. D.y = x2 − 6x + 7
Show the answer and explanation

Answer: D (y = x2 − 6x + 7)

Explanation

y = x² − 6x + c. At (1, 2): 1 − 6 + c = 2, so c = 7 and y = x² − 6x + 7.