Find the value of the constant a that makes the following function continuous on (-∞, ∞). 5x³ + 5x² + 10x + 10 Į f(x) = x + 1 2x² - 4x + a if x < -1 if x ≥ -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
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Find the value of the constant a that makes the following function continuous on (-∞,∞).
5x³ + 5x² + 10x + 10
x+1
2x² - 4x + a
f(x) = {
if x < -1
if x ≥ −1
Transcribed Image Text:Find the value of the constant a that makes the following function continuous on (-∞,∞). 5x³ + 5x² + 10x + 10 x+1 2x² - 4x + a f(x) = { if x < -1 if x ≥ −1
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