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
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Question
![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).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1f609e33-8915-43d7-970a-e560ca4358ea%2Fd4f50b81-c7c6-477f-b824-c58275c8efea%2Fge3c12i_processed.png&w=3840&q=75)
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).
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