3. Let f [2,3] → {1,3} be a continuous function such that the equation f(x) - x = 0 has a solution a in [2,3]. What can you say about the function f?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
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3. Let f : [2,3] → {1, 3} be a continuous function such that the equation f(x) – x = 0 has a solution x
in [2, 3]. What can you say about the function f?
Transcribed Image Text:3. Let f : [2,3] → {1, 3} be a continuous function such that the equation f(x) – x = 0 has a solution x in [2, 3]. What can you say about the function f?
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