Let the function f(x) be defined as f(x)=ax+2 for x<1 and f(x)=x2+b for x≥1. If the function f(x) is continuous and differentiable at x=1, find the numerical value of 2a+b.
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Q1
10 May 2026
Mathematics 1 · Week 8
Q1.Let the function f(x) be defined as f(x)=ax+2 for x<1 and f(x)=x2+b for x≥1. If the function f(x) is continuous and differentiable at x=1, find the numerical value of 2a+b.