2. Consider the function а(т — 2) Vx +2 – 2 - if x < 2, - f(x) = {b if x = 2, 1 C if x > 2, 2x 2 x² - where a, b, c are real numbers. Find the values of a, b, c that make this function continuous.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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2. Consider the function
а(т — 2)
Vx +2 – 2
-
if x < 2,
-
f(x) = {b
if x = 2,
1
C
if x > 2,
2x
2
x²
-
where a, b, c are real numbers. Find the values of a, b, c that make this function
continuous.
Transcribed Image Text:2. Consider the function а(т — 2) Vx +2 – 2 - if x < 2, - f(x) = {b if x = 2, 1 C if x > 2, 2x 2 x² - where a, b, c are real numbers. Find the values of a, b, c that make this function continuous.
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