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24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1. 1-x², x ≤0 f(x) = ax + b, 0 < x ≤1 (x-1)3 + 2, x > 1

24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1. 1-x², x ≤0 f(x) = ax + b, 0 < x ≤1 (x-1)3 + 2, x > 1

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter11: Rational And Irrational Numbers
Section: Chapter Questions
Problem 23CLR
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24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1. 1-x², x ≤0 f(x) = ax + b, 0 < x ≤1 (x-1)3 + 2, x > 1
Transcribed Image Text:24. Find the constants a and b such that the function below is continuous at x = 0 and x = 1. 1-x², x ≤0 f(x) = ax + b, 0 < x ≤1 (x-1)3 + 2, x > 1
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