(a) By definition, for a function g to be continuous at x = a, lim g(x) = 8 Note that f is not 64 (b) Consider f(x) x2 :8. continuous at x = Determine a function g, which agrees with f on it's domain and is continuous at x = 8. This is an example of removing a discontinuity. Enter answer as reduced fraction. 8 x + 8 { x2 – 64 - g(x) = x = 8

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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(a) By definition, for a function g to be continuous at x = a,
lim g(x) :
x → a
8
Note that f is not
-
(b) Consider f (x)
x2 – 64
continuous at x = 8.
Determine a function g, which agrees with f on it's domain
and is
continuous at x =
8. This is an example of removing a
discontinuity.
Enter answer as reduced fraction.
8
x + 8
{
x2 – 64
g(x) =
x = 8
Transcribed Image Text:(a) By definition, for a function g to be continuous at x = a, lim g(x) : x → a 8 Note that f is not - (b) Consider f (x) x2 – 64 continuous at x = 8. Determine a function g, which agrees with f on it's domain and is continuous at x = 8. This is an example of removing a discontinuity. Enter answer as reduced fraction. 8 x + 8 { x2 – 64 g(x) = x = 8
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