Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y y 1 2 4 -1 3 4 - 10 - 20 - 20 -30 -40 -40 - 60 - 50 - 60 - 80 y y 60 80 50 60 40 30 40 20 20 10 X 1 3 4 1 3 4 Need Help? Read It Watch It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Consider the following points.
(-1, 5), (0, 0), (1, 1), (4, 58)
(a) Determine the polynomial function of least degree whose graph passes through the given points.
p(x) =
(b) Sketch the graph of the polynomial function, showing the given points.
y
y
1
2
-1
4
- 10
- 20
- 20
- 30
- 40
-40
- 60
- 50
– 60
-80|
y
y
60
80
50
60
40
30
40
20
20
10
X
1
3
4
1
3
4
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Transcribed Image Text:Consider the following points. (-1, 5), (0, 0), (1, 1), (4, 58) (a) Determine the polynomial function of least degree whose graph passes through the given points. p(x) = (b) Sketch the graph of the polynomial function, showing the given points. y y 1 2 -1 4 - 10 - 20 - 20 - 30 - 40 -40 - 60 - 50 – 60 -80| y y 60 80 50 60 40 30 40 20 20 10 X 1 3 4 1 3 4 Need Help? Read It Watch It
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