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

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter5: Rings, Integral Domains, And Fields
Section5.4: Ordered Integral Domains
Problem 8E: If x and y are elements of an ordered integral domain D, prove the following inequalities. a....
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Find the values of a and b that make f continuous everywhere.
x² – 4
x - 2
if x < 2
f(x) =
ax2 – bx + 3
if 2 < x < 3
4х - а + b
if x 2 3
a =
2
b =
X X
Transcribed Image Text:Find the values of a and b that make f continuous everywhere. x² – 4 x - 2 if x < 2 f(x) = ax2 – bx + 3 if 2 < x < 3 4х - а + b if x 2 3 a = 2 b = X X
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