1. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided difference) and solve for the following items using values from the constructed table: а. f(2) b. the equation of the polynomial that will fit the given points -3 -1 1 -1 3 4 -31 X f(x) -45 9 -27

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.CR: Chapter Review
Problem 65E
icon
Related questions
Question
1. Using the given pairs of x and f(x), construct a an appropriate table (difference or
divided difference) and solve for the following items using values from the
constructed table:
а. f(2)
b. the equation of the polynomial that will fit the given points
-3
-1
1
3
4
f(x)
-45
-1
-27
-31
Transcribed Image Text:1. Using the given pairs of x and f(x), construct a an appropriate table (difference or divided difference) and solve for the following items using values from the constructed table: а. f(2) b. the equation of the polynomial that will fit the given points -3 -1 1 3 4 f(x) -45 -1 -27 -31
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning