etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at c= 0? Choose the correct answer beld O A. Yes, f is continuous at c = 0. O B. No, because f is not defined at c = 0. O C. No, because lim f(x) = f(0). O D. No, because lim f(x) # f(0).

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...
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Determine whether f is continuous at c= 0.
3
-3x
if x#0
f(x) =
x* + 3x
2
if x = 0
Is f
continuous at c = 0? Choose the correct answer below.
O A. Yes, f is continuous at c = 0.
O B. No, because f is not defined at c = 0.
OC. No, because lim f(x) = f(0).
O D. No, because lim f(x) + f(0).
Transcribed Image Text:Determine whether f is continuous at c= 0. 3 -3x if x#0 f(x) = x* + 3x 2 if x = 0 Is f continuous at c = 0? Choose the correct answer below. O A. Yes, f is continuous at c = 0. O B. No, because f is not defined at c = 0. OC. No, because lim f(x) = f(0). O D. No, because lim f(x) + f(0).
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