Note: abs = absolute value
Define f(x) = abs(x - 1/2) for 0 <=x <= 1. Use the proof of the Approximation Theorem to find an explicit polynomial p:R->R such that abs(f(x) - p(x)) < 1/4 for all x in [0,1]© BrainMass Inc. brainmass.com November 29, 2021, 11:56 pm ad1c9bdddf
The Weierstrass Approximation Theroem is used to define the relationship between a function and a polynomial. The solution is detailed and well presented.