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2.5 Continuity 3. We would like to find a value of k to make the piecewise function f(x) continuous at x = 3. f(x)=kVx+I, 0sxs3 15-x, 3

2.5 Continuity 3. We would like to find a value of k to make the piecewise function f(x) continuous at x = 3. f(x)=kVx+I, 0sxs3 15-x, 3

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2.5 Continuity 3. We would like to find a value of k to make the piecewise function f(x) continuous at x = 3. f(x)=kVx+I, 0sxs3 15-x, 3<xs5 236 Drk a) If you were to graph f(x), which part of the graph (left or right) is changed when k is changed? How does the graph change? b) Do you think there is a value 'of k for which the left and right pieces of the graph will 'match' at x 3? c) If there is such a value of k, describe what must be true about the value of the left and right hand function expressions at x 3. 1 RA ATO UDITOX DO UOTpoir me cunoun 7u : d) Find the value of k to make f(x) continuous at x 3. O EPB 2
Transcribed Image Text:2.5 Continuity 3. We would like to find a value of k to make the piecewise function f(x) continuous at x = 3. f(x)=kVx+I, 0sxs3 15-x, 3<xs5 236 Drk a) If you were to graph f(x), which part of the graph (left or right) is changed when k is changed? How does the graph change? b) Do you think there is a value 'of k for which the left and right pieces of the graph will 'match' at x 3? c) If there is such a value of k, describe what must be true about the value of the left and right hand function expressions at x 3. 1 RA ATO UDITOX DO UOTpoir me cunoun 7u : d) Find the value of k to make f(x) continuous at x 3. O EPB 2
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