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) =
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...
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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).)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbd08d40e-954e-4cc6-a9af-4b154b6d70bd%2F44abde8c-d5d7-4238-a5e5-da209eb4c8ce%2Fessv8ww_processed.png&w=3840&q=75)
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).)
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