Find the values of a and b that make the following function continuous. |f(x) =< 7x if x < 1 ax² + bif 1 ≤ x ≤ 2 7x if x > 2 What is the value of a? (You do not need to enter the value of b.) Enter your answer as a decimal. Round to three decimal places (as needed).
Find the values of a and b that make the following function continuous. |f(x) =< 7x if x < 1 ax² + bif 1 ≤ x ≤ 2 7x if x > 2 What is the value of a? (You do not need to enter the value of b.) Enter your answer as a decimal. Round to three decimal places (as needed).
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter8: Introduction To Functions
Section8.7: Functions Defined By Equations
Problem 27WE
Related questions
Question
Transcribed Image Text:Find the values of a and b that make the following function continuous.
f(x)
=
7x
if x < 1
ax² + bif 1 ≤ x ≤ 2
7x
if x > 2
What is the value of a? (You do not need to enter the value of b.)
Enter your answer as a decimal. Round to three decimal places (as needed).
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 5 steps with 5 images
Recommended textbooks for you
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
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
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
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning