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Given that y = 2x - 1 and Δx = 0.1, find Δ y

Further Mathematics
WAEC 2024

Given that y = 2x - 1 and Δx = 0.1, find Δ y

  • A. 0.20
  • B. 0.15
  • C. 0.10
  • D. 0.05
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Correct Answer: Option A
Explanation

Given the function y = 2x − 1 and  Δ x = 0.1.

Δy = f(x - Δx) - f(x) = [(2(x + 0.1) − 1) − (2x − 1)]

Δy = 2x + 0.2 - 1 - 2x + 1 = 0.2.


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