Graphically estimate the values indicated and answer the question m(t) 2 lim m(t (a) t1 lim m(t) (b) t1 lim m(t) (c) t1 (d) m(1) (e) Is m continuous at t 1 ? Explain OYes. The function m is continuous at t 1 because the limit exists and is equal to the output value at t 1. O No. The function m is not continuous att 1 because even though the limit exists at t 1 it does not equal the output value of the function for t 1. O No. The function m is not continuous at t 1 because the limit does not exist at t 1. O No. The function m is not continuous at t 1 because the left portion of m as t approaches from the left and the right portion of m as t approaches from the right approach different values. ONo. The function m is not continuous at t 1 because even though the limit exists, the function is not defined at t 1.

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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Graphically estimate the values indicated and answer the question
m(t)
2
lim m(t
(a)
t1
lim m(t)
(b)
t1
lim m(t)
(c)
t1
(d)
m(1)
(e) Is m continuous at t 1 ? Explain
OYes. The function m is continuous at t
1 because the limit exists and is equal to the output value at t 1.
O No. The function m is not continuous att 1 because even though the limit exists at t
1 it does not equal the output value of the function for t 1.
O No. The function m is not continuous at t
1 because the limit does not exist at t 1.
O No. The function m is not continuous at t
1 because the left portion of m as t approaches from the left and the right portion of m as t approaches from the right approach different values.
ONo. The function m is not continuous at t
1 because even though the limit exists, the function is not defined at t 1.
Transcribed Image Text:Graphically estimate the values indicated and answer the question m(t) 2 lim m(t (a) t1 lim m(t) (b) t1 lim m(t) (c) t1 (d) m(1) (e) Is m continuous at t 1 ? Explain OYes. The function m is continuous at t 1 because the limit exists and is equal to the output value at t 1. O No. The function m is not continuous att 1 because even though the limit exists at t 1 it does not equal the output value of the function for t 1. O No. The function m is not continuous at t 1 because the limit does not exist at t 1. O No. The function m is not continuous at t 1 because the left portion of m as t approaches from the left and the right portion of m as t approaches from the right approach different values. ONo. The function m is not continuous at t 1 because even though the limit exists, the function is not defined at t 1.
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