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

Assessment: WAEC SSCE - Further Mathematics - 2022 Subject: Further Mathematics

Question 1 Report

x

^{2}

- 6x - 5

x

^{2}

- 6x + 5

x

^{2}

- 6x - 3

x

^{2}

- 6x + 7

Answer Details

dy/dx = 2x - 6

y = ∫ 2x - 6

y = $\frac{2 x^{2}}{2} - 6 + c$ y = x $^{2}$ - 6x + c
passes through (1,2)
2 = 1 $^{2}$ - 6(1) + c
2 = 1 - 6 + c
c = 7
y = x $^{2}$ - 6x + c

y = x $^{2}$ - 6x + 7

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