What values of a and b make the function f continuous everywhere? x² - 4 a = f(x) = " X 2 ax² - bx - 24, 14x a+b, ‒‒‒ and b = || if x < 2 if 2 < x < 3 if x > 3

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 36E
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What values of a and b make the function f continuous everywhere?
x² - 4
a =
f(x) =
"
X 2
ax² - bx - 24,
14x
a+b,
‒‒‒
and b =
||
if x < 2
if 2 < x < 3
if x > 3
Transcribed Image Text:What values of a and b make the function f continuous everywhere? x² - 4 a = f(x) = " X 2 ax² - bx - 24, 14x a+b, ‒‒‒ and b = || if x < 2 if 2 < x < 3 if x > 3
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