2.1x + 11.1 if r < -1 Let f(x) = VI + 82 if x > – 1 if z = – 1 Determine which one of the following rules for continuity is violated at I = - 1. f(a) is defined. O lim f(x) exists. lim f(1) = f(a). O None of the above; the function is continuous at x = – 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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Determine which one of the following rules for continuity is violated at x = -1
2.1x + 11.1 if x < - 1
Let f(x) =
Va + 82
if ェ>
1
2
if x
– 1
Determine which one of the following rules for continuity is violated at a =
1.
O f(a) is defined.
O lim
f(x) exists.
O lim
f(x) = f(a).
エ→Q
O None of the above; the function is continuous at a = – 1.
Transcribed Image Text:2.1x + 11.1 if x < - 1 Let f(x) = Va + 82 if ェ> 1 2 if x – 1 Determine which one of the following rules for continuity is violated at a = 1. O f(a) is defined. O lim f(x) exists. O lim f(x) = f(a). エ→Q O None of the above; the function is continuous at a = – 1.
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