Determine the continuity of the function at the given points. forx =-1 %3D f(x = - 2, for x -1 at x = -1 and x = 0 ' %3D

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 the continuity of the function at the given points.
forx =-1
flx) =
-2,
for x *-1 at x = -1 and x = 0
6-
5-
4-
3.
-1+
O The function f is continuous at neither x =0 nor x=-1.
O The function f is continuous at x =0 but not at x = -1.
O The function f is continuous at both x = 0 and x=-1.
O The function f is continuous at x = -1 but not at x = 0.
Transcribed Image Text:Determine the continuity of the function at the given points. forx =-1 flx) = -2, for x *-1 at x = -1 and x = 0 6- 5- 4- 3. -1+ O The function f is continuous at neither x =0 nor x=-1. O The function f is continuous at x =0 but not at x = -1. O The function f is continuous at both x = 0 and x=-1. O The function f is continuous at x = -1 but not at x = 0.
Expert Solution
Recall

If function f is continuous at x=a then

limxaf(x)= f(a)

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