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
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...
icon
Related questions
Question
Solve the question in picture and explain all steps
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
Expert Solution
steps

Step by step

Solved in 3 steps with 1 images

Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

when you found out that there was discontinuity at x=2, why did you take the derivative to get rid of discountinuity?

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning