Let us summarize continuity of a function at x=a (where 'a' is a value in the domain of the function). What should we check to confirm continuity? Click all that apply. O The left limit is equal to the right limit at the given x=a The limit is equal to 'a' The left limit is equal to f(a) O The right limit is equal to f(a) O The limit is equal to f(a) O f(a)=a The graph has only a jump, not an asymptote

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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Let us summarize continuity of a function at \( x = a \) (where 'a' is a value in the domain of the function). What should we check to confirm continuity? Click all that apply.

- [ ] \( f(a) = a \)
- [ ] The limit is equal to \( f(a) \)
- [ ] The right limit is equal to \( f(a) \)
- [ ] The left limit is equal to \( f(a) \)
- [ ] The limit is equal to 'a'
- [ ] The left limit is equal to the right limit at the given \( x = a \)
- [ ] The graph has only a jump, not an asymptote
Transcribed Image Text:Let us summarize continuity of a function at \( x = a \) (where 'a' is a value in the domain of the function). What should we check to confirm continuity? Click all that apply. - [ ] \( f(a) = a \) - [ ] The limit is equal to \( f(a) \) - [ ] The right limit is equal to \( f(a) \) - [ ] The left limit is equal to \( f(a) \) - [ ] The limit is equal to 'a' - [ ] The left limit is equal to the right limit at the given \( x = a \) - [ ] The graph has only a jump, not an asymptote
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