Find the values of a and b that make f continuous everywhere. x²_ X-2 ax² - 6x + 3 2x = a + b a || || b = f(x) = 4 if x < 2 if 2 < x < 3 if x ≥ 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find the values of a and b that make f continuous everywhere.
x²_
X-2
ax² - 6x + 3
2x = a + b
a
|| ||
b =
f(x) =
4
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. x²_ X-2 ax² - 6x + 3 2x = a + b a || || b = f(x) = 4 if x < 2 if 2 < x < 3 if x ≥ 3
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