Let h(x) = {x^2 +3,  x<2                 {5,            x=2                 {1/x-2,      x>2 Determine the continuity of h(x) at/over the following point/interval. Classify the discontinuity if h(x) is discontinuous at the given point. Provide concise justifications for your answers a. x= 2 b. (0,2] c. (2,∞)

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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Let h(x) = {x^2 +3,  x<2

                {5,            x=2

                {1/x-2,      x>2

Determine the continuity of h(x) at/over the following point/interval. Classify the discontinuity if h(x) is discontinuous at the given point. Provide concise justifications for your answers

a. x= 2

b. (0,2]

c. (2,∞)

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