7. A piecewise function can be continuous everywhere but not differentiable everywhere. 8. If a function f(x) is continuous in an open interval, then f(x) has both a maximum value and a minimum value. 9. If the limit exists at x = a, then the function is continuous at x = a 10. If the left-hand limit and the right-hand limit of a function exist at a point x = a, then the limit at x = a exists.
7. A piecewise function can be continuous everywhere but not differentiable everywhere. 8. If a function f(x) is continuous in an open interval, then f(x) has both a maximum value and a minimum value. 9. If the limit exists at x = a, then the function is continuous at x = a 10. If the left-hand limit and the right-hand limit of a function exist at a point x = a, then the limit at x = a exists.
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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PLS HELP ASAP ON ALL ASKED QUESTIONS. this is true/false
Transcribed Image Text:7. A piecewise function can be continuous everywhere but not differentiable
everywhere.
8. If a function f(x) is continuous in an open interval, then f(x) has both a maximum
value and a minimum value.
9. If the limit exists at x = a, then the function is continuous at x = a
10. If the left-hand limit and the right-hand limit of a function exist at a point x = a,
then the limit at x = a exists.
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