Find parameters a, b, and c such that the following function becomes continuo x² + x – 6 if x < 2 a(x² + 4x – 12) 3. —а + -b +с 8 f(x) = if x = 2 Væ + 14 – c if x > 2 r2 – 3x + 2

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter2: Functions And Graphs
Section2.1: Functions And Function Notation
Problem 6SC
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find a,b,c such that the following function become continuous at x=2

Find parameters a, b, and c such that the following function becomes continuo
x2 + x – 6
if x < 2
а (2? + 4т — 12)
-
f(x) =
3.
-a + -b+c
if x = 2
Væ + 14 -
if x > 2
Зх + 2
Transcribed Image Text:Find parameters a, b, and c such that the following function becomes continuo x2 + x – 6 if x < 2 а (2? + 4т — 12) - f(x) = 3. -a + -b+c if x = 2 Væ + 14 - if x > 2 Зх + 2
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