Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x =a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = *-1, a = 1 O The discontinuity is removable. O The discontinuity is not removable. g(x) = (b) f(x) = x³ − x² - 6x, a = 3 x - 3 O The discontinuity is removable. O The discontinuity is not removable. g(x) =

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 1E: If f(x)=x3+1 , then (a) the value of f at x=1 is f()= . (b) the value of f at x=2 is f()= . (c) the...
Question

2.4 Q10

Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.)
(a) f(x) = x=-1₁ a = 1
O The discontinuity is removable.
O The discontinuity is not removable.
g(x) =
(b) f(x) = x³ − x² − 6x, a = 3
x - 3
O The discontinuity is removable.
O The discontinuity is not removable.
g(x) =
(c) f(x) = [sin x], a = π (Recall that
O The discontinuity is removable.
O The discontinuity is not removable.
g(x) =
means the largest integer that is less than or equal to h(x).)
Transcribed Image Text:Which of the following functions f has a removable discontinuity at a? If the discontinuity is removable, find a function g that agrees with f for x = a and is continuous at a. (If an answer does not exist, enter DNE.) (a) f(x) = x=-1₁ a = 1 O The discontinuity is removable. O The discontinuity is not removable. g(x) = (b) f(x) = x³ − x² − 6x, a = 3 x - 3 O The discontinuity is removable. O The discontinuity is not removable. g(x) = (c) f(x) = [sin x], a = π (Recall that O The discontinuity is removable. O The discontinuity is not removable. g(x) = means the largest integer that is less than or equal to h(x).)
Expert Solution
steps

Step by step

Solved in 4 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell