The Lagrange polynomial that passes through the 3 data points is given by x | 15 | 18 | 22 y | 24 | 37 | 25 f2(x) = L0(x)(24) + L1(x)(37) + L2(x)(25) The value of L1(x) at x = 16 is a) -0.071 b) 0.5714 c) 0.5 d) 0.071
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Given the two points [a, f(a)], [b, f(b)], the linear Lagrange polynomial f1(x) that pass through these two points is given by a) f1(x) = (x - b) / (a - b) * f(a) + (x - a) / (a - b) * f(b) b) f1(x) = (x - b) / (a - b) * f(a) + (x - a) / (b - a) * f(b) c) f1(x) = f(a) + (f(b) - f(a)) / (b - a) * (b - a) d) f1(x) = x / (b - a) * f(a) + x / (b - a) * f(b)
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Given the two points, the linear Lagrange polynomial f(x) that passes through these two points is given by: f(x) = f(a) + (f(b) - f(a))/(b - a) * (x - b)
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