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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.9: Combining Functions
Problem 20PPS
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
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning