WAEC Further Mathematics 2022 Objective — Question 34

Question 34 of 40 from the West African Examinations Council (WAEC) Further Mathematics 2022 Objective paper, with the correct answer and a full explanation.

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

A. y=x²−6x−5
B. y=x²−6x+5
C. y=x²−6x−3
D. y=x²−6x+7Correct

Explanation

Integrating dy/dx=2x−6 gives y=x²−6x+c. Substituting (1,2): 2=1−6+c, so c=7. Thus y=x²−6x+7.

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