Find the value(s) of k that makes the given function continuous. 4x 5 if x < k f(x) = { = x++1 ifk ≤x≤6 (Use a comma to separate multiple answers. Enter an exact value or values.) Provide your answer below:
Find the value(s) of k that makes the given function continuous. 4x 5 if x < k f(x) = { = x++1 ifk ≤x≤6 (Use a comma to separate multiple answers. Enter an exact value or values.) Provide your answer below:
Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
1st Edition
ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
Publisher:HOUGHTON MIFFLIN HARCOURT
Chapter8: Graphing Quadratic Functions
Section: Chapter Questions
Problem 16CT
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Question
Transcribed Image Text:Find the value(s) of k that makes the given function continuous.
f(x) = { ²x + x + 1
4x 5
if x < k
ifk ≤ x ≤ 6
-4x+1
(Use a comma to separate multiple answers. Enter an exact value or values.)
Provide your answer below:
=
![If f(x) is continuous in the interval [−2, 1],ƒ(-2) = −4, and f(1) = -1, can we use the Intermediate Value Theorem to
conclude that f(c) = 0 where -2 < c < 1?
Select the correct answer below:
● Yes, the Intermediate Value Theorem guarantees that f(c) = 0.
O
No, the Intermediate Value Theorem does not guarantee this conclusion, but f(c) = 0 could be true and cannot be
ruled out.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fffcf92b5-4154-452a-af6b-b4e696e552b0%2F30e516b7-a437-4b62-b1ef-5a0accae87f6%2Fwg2gqp_processed.png&w=3840&q=75)
Transcribed Image Text:If f(x) is continuous in the interval [−2, 1],ƒ(-2) = −4, and f(1) = -1, can we use the Intermediate Value Theorem to
conclude that f(c) = 0 where -2 < c < 1?
Select the correct answer below:
● Yes, the Intermediate Value Theorem guarantees that f(c) = 0.
O
No, the Intermediate Value Theorem does not guarantee this conclusion, but f(c) = 0 could be true and cannot be
ruled out.
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