quiz_05inp_lagrange - Multiple-Choice Test Chapter 05.04...

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05.04.1 Multiple-Choice Test Chapter 05.04 Lagrange Method of Interpolation 1. A unique polynomial of degree ______________ passes through 1 + n data points. (A) 1 + n (B) n (C) n or less (D) 1 + n or less 2. Given the two points ( ) [ ] ( ) [ ] b f b a f a , , , , the linear Lagrange polynomial ( ) x f 1 that passes through these two points is given by (A) ( ) ( ) ( ) b f b a a x a f b a b x x f + = 1 (B) ( ) ( ) ( ) b f a b x a f a b x x f + = 1 (C) ( ) ( ) ( ) ( ) ( ) a b a b a f b f a f x f + = 1 (D) ( ) ( ) ( ) b f a b a x a f b a b x x f + = 1 3. The Lagrange polynomial that passes through the 3 data points is given by x 15 18 22 y 24 37 25 ( ) ( )( ) ( )( ) ( )( ) 25 37 24 2 1 0 2 x L x L x L x f + + = The value of ( ) x L 1 at 16 = x is most nearly (A) –0.071430 (B) 0.50000 (C) 0.57143 (D) 4.3333
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