2. Consider the floor function [.] whose output is the largest integer less than or equal to the input. For example, [3] = 3, [7] = 3, [2.99] = 2, and [-1.1] = -2. (a) Is the floor function continuous? (b) Consider the vector-valued function r(t) = ([t], t, t). Is r continuous?
2. Consider the floor function [.] whose output is the largest integer less than or equal to the input. For example, [3] = 3, [7] = 3, [2.99] = 2, and [-1.1] = -2. (a) Is the floor function continuous? (b) Consider the vector-valued function r(t) = ([t], t, t). Is r continuous?
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...
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![2. Consider the floor function [.] whose output is the largest integer less than or equal to the
input. For example, [3] = 3, [π] = 3, [2.99] = 2, and [-1.1] = -2.
(a) Is the floor function continuous?
(b) Consider the vector-valued function r(t) = ([t], t, t). Is r continuous?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F934ff6bb-8e29-4028-baf5-67e0d726d963%2F04c66682-a115-4e75-8098-966974e260fd%2Ftnbg05g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2. Consider the floor function [.] whose output is the largest integer less than or equal to the
input. For example, [3] = 3, [π] = 3, [2.99] = 2, and [-1.1] = -2.
(a) Is the floor function continuous?
(b) Consider the vector-valued function r(t) = ([t], t, t). Is r continuous?
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