Given two points [a, f(a)] and [b. f(b)], the linear Lagrange polynomial f(x) that passes through these points is given by f₁(x) = x=b ƒ(a) + x-tf(b) a-b A f₁(x) = f(a) + O C f(b)-f(a) f(b) b-a f₁(x) = f(a) + f(b) b-a b- B x x-b f₁(x) = f(a) + f(b) x-a b-a a-b O D

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 50HP
Question
Given two points [a, f(a)] and [b. f(b)], the linear Lagrange
polynomial fi(x) that passes through these points is given by
f₁(x)=x-bf (a) + f(b)
x-a
a-b
O A
f₁(x) = f(a) +
C
f(b)-f(a) f(b)
b-a
f₁(x) = f(a) + f(b)
b-a
b-a
B
x
x-b
f₁(x) = f(a) + f(b)
x-a
b-a
a-b
D
Transcribed Image Text:Given two points [a, f(a)] and [b. f(b)], the linear Lagrange polynomial fi(x) that passes through these points is given by f₁(x)=x-bf (a) + f(b) x-a a-b O A f₁(x) = f(a) + C f(b)-f(a) f(b) b-a f₁(x) = f(a) + f(b) b-a b-a B x x-b f₁(x) = f(a) + f(b) x-a b-a a-b D
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