Find the values of a and b that make f continuous everywhere.x² - 4if x < 2X-2f(x)ax² - 6x + 3bxif 2 ≤ x < 34x = a + bif x ≥ 3To=b =II

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Find the values of a and b that make f continuous everywhere. x² - 4 if x < 2 f(x) = x-2 ax² if 2 ≤ x < 3 if x ≥ 3 4x = a + b a b = 2-bx + 3

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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Question

Find the values of a and b that make f continuous everywhere.
x² - 4
if x < 2
X-2
f(x)
ax² - 6x + 3
bx
if 2 ≤ x < 3
4x = a + b
if x ≥ 3
To
=
b =
II

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