If a function f(x) is given by x²-2x-8 T²-7x+12' 6, is f(x) continuous at x = 4? = x 4, x = 4, Yes because lim f(x) = f(4). x 4 O2 No because lim f(x) does not exist. 3. No because f(x) is not defined at x = 4. No because lim f(x) exists, but lim f(x) = f(4). 2-4 x-4

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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If a function f(x) is given by
x²-2x-8
x²7x+12
6,
is f(x) continuous at x = 4?
f(x)
=
x 4,
x = 4,
Yes because lim f(x) = f(4).
x44
2 No because lim f(x) does not exist.
x-4
3. No because f(x) is not defined at x = 4.
No because lim f(x) exists, but lim f(x) =
f(4).
x-4
x 4
Transcribed Image Text:If a function f(x) is given by x²-2x-8 x²7x+12 6, is f(x) continuous at x = 4? f(x) = x 4, x = 4, Yes because lim f(x) = f(4). x44 2 No because lim f(x) does not exist. x-4 3. No because f(x) is not defined at x = 4. No because lim f(x) exists, but lim f(x) = f(4). x-4 x 4
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