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.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter3: Functions

Section3.3: More On Functions; Piecewise-defined Functions

Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...

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