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Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1, x>0 ?

Is the following piecewise defined function f(x) continuous at x = = 0, [cos(x), x≤0 f(x) = x²+x+1, x>0 ?

College Algebra
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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Is the following piecewise defined function f(x) continuous at r = 0, S cos(21), |x² + x + 1, x > 0 f(r) = „2 ? Please briefly explain your answer (in 4 sentences or fewer, if possible). Hint: What are the criteria for a function to be continuous at a point ro?
Transcribed Image Text:Is the following piecewise defined function f(x) continuous at r = 0, S cos(21), |x² + x + 1, x > 0 f(r) = „2 ? Please briefly explain your answer (in 4 sentences or fewer, if possible). Hint: What are the criteria for a function to be continuous at a point ro?
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