• f(x) = -1 when r < -2 • f(x) = 0 when a > 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is everywhere continuous. ) Suppose that f must have the form of a quartic polynomial on [-2, 2]; that is, f(x) = c4a4 +c3a3+ C2x2 + c1x + co. Find the values of co,..., C4 such that f is everywhere differentiable. Note: You may choose to give your answers to 5 decimal places instead of writing them as fractions.
• f(x) = -1 when r < -2 • f(x) = 0 when a > 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is everywhere continuous. ) Suppose that f must have the form of a quartic polynomial on [-2, 2]; that is, f(x) = c4a4 +c3a3+ C2x2 + c1x + co. Find the values of co,..., C4 such that f is everywhere differentiable. Note: You may choose to give your answers to 5 decimal places instead of writing them as fractions.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 65E
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