4. Consider the function if x > 0 {2 if a < 0 g : R – R, g (x) = -2x2 Is this function bijective? Explain in detail. Does the inverse of 9, i.e. g exist?

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015
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ISBN:9781680331141
Author:HOUGHTON MIFFLIN HARCOURT
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Chapter10: Radical Functions And Equations
Section: Chapter Questions
Problem 22CR
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Question
4. Consider the function
if x > 0
g : R – R,
g (x) =
{2
-2x2
if x < 0
Is this function bijective? Explain in detail. Does the inverse of
9,
i.e. g
exist?
Transcribed Image Text:4. Consider the function if x > 0 g : R – R, g (x) = {2 -2x2 if x < 0 Is this function bijective? Explain in detail. Does the inverse of 9, i.e. g exist?
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