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Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2 Find the value(s) of a that makes f continuous at x = 2. If there are no values of a that make f continuous, answer "DNE." If there are more than one answer, give your answer as a comma-separated list (i.e. 2,3). Note: in your work, you must use the conditions of continuity to justify your work. Using a graph as your main justification will earn no credit.

Let f be the piecewise-defined function [a²x² + 112 if x > 2 a + 124 if = 2 2a²x² f(x) = if x < 2 Find the value(s) of a that makes f continuous at x = 2. If there are no values of a that make f continuous, answer "DNE." If there are more than one answer, give your answer as a comma-separated list (i.e. 2,3). Note: in your work, you must use the conditions of continuity to justify your work. Using a graph as your main justification will earn no credit.

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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Let f be the piecewise-defined function a²2112 if > 2 f(x) = a + 124 if = 2 2a²x² if x < 2 Find the value(s) of a that makes f continuous at = 2. If there are no values of a that make f continuous, answer "DNE." If there are more than one answer, give your answer as a comma-separated list (i.e. 2,3). Note: in your work, you must use the conditions of continuity to justify your work. Using a graph as your main justification will earn no credit.
Transcribed Image Text:Let f be the piecewise-defined function a²2112 if > 2 f(x) = a + 124 if = 2 2a²x² if x < 2 Find the value(s) of a that makes f continuous at = 2. If there are no values of a that make f continuous, answer "DNE." If there are more than one answer, give your answer as a comma-separated list (i.e. 2,3). Note: in your work, you must use the conditions of continuity to justify your work. Using a graph as your main justification will earn no credit.
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