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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.2: Exponential Functions
Problem 58E
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Find the values of a and b that make f continuous everywhere.
a =
b =
f(x)
x² 4
X-2
ax²
4x = a + b
-
bx + 3
if x < 2
if 2 < x < 3
if x ≥ 3
Transcribed Image Text:Find the values of a and b that make f continuous everywhere. a = b = f(x) x² 4 X-2 ax² 4x = a + b - bx + 3 if x < 2 if 2 < x < 3 if x ≥ 3
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