-3 -2 -1 0 1 2 3 4 -45 -16 -3 10 -1 0 9 32 The following represent a set of points that lie on the graph of a function. Determine the equation of the polynomial using an algebraic method
-3 -2 -1 0 1 2 3 4 -45 -16 -3 10 -1 0 9 32 The following represent a set of points that lie on the graph of a function. Determine the equation of the polynomial using an algebraic method
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
note: follow the solution format of the sample equation given in the second picture

Transcribed Image Text:Quiz: Polynomial Equation
Use finite differences to determine the equation for the
polynomial corresponding to the given table of values.
X
y
-3
-2 -4
-1
0
0 6
8
123
O
AJA
-4
4
JIN
2
-8
8
NJ
2
I
10:
-24-16
-24
3
fax) = -x²³ - 2x² + 5x 46
? ? ? ?
1
f(x) = ax³+ bx² + cx +d
3² = 3x2x1 = -1
a =
H
31
f(x) = -x³ + bx² + cx +d
f(0) = d = 6
2
-(-1)³ + b(-1)² + ((-1) + 6
f(-1) =
0 = 1 + b = c +6=b-C+75
f(¹) =
3=
-7=
(+2) 2b = -4
b=-2
−1+b+c+6 = 8
b+c
b-c
20=10
c = 5
(2)

Transcribed Image Text:-3
-2
-1
0
1
2
3
4
-45
-16
-3
0
-1
0
9
32
The following represent a set of points that lie on the graph of a function. Determine the equation of the polynomial using an
algebraic method
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