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Define a piecewise function f(x) as follows: f(x) = a(4+ 2x) (x - 1)² 2 x+2 √bx-2 x-2 Find all value(s) of a and b so that f is everywhere continuous. x < -1 -1

Define a piecewise function f(x) as follows: f(x) = a(4+ 2x) (x - 1)² 2 x+2 √bx-2 x-2 Find all value(s) of a and b so that f is everywhere continuous. x < -1 -1

Calculus: Early Transcendentals
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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Define a piecewise function f(x) as follows: a(4+ 2x) (x - 1)² 2 x+2 √bx-2 x-2 Find all value(s) of a and b so that f is everywhere continuous. 80 F3 a F4 % 5 O F5 f(x) = 6 x < -1 F6 -1<x<2 MacBook Air x 2 & 7 F7 8 DII F8 9 F9
Transcribed Image Text:Define a piecewise function f(x) as follows: a(4+ 2x) (x - 1)² 2 x+2 √bx-2 x-2 Find all value(s) of a and b so that f is everywhere continuous. 80 F3 a F4 % 5 O F5 f(x) = 6 x < -1 F6 -1<x<2 MacBook Air x 2 & 7 F7 8 DII F8 9 F9
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when you found out that there was discontinuity at x=2, why did you take the derivative to get rid of discountinuity?

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