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Let f: RR by f(x) = −3x + 4. 1) Is f one-to-one? If yes, justify your answer; if no, give a counterexample. 2) Is fonto? If yes, justify your answer; if no, give a counterexample. 3) Is f a bijection? Justify your answer. h

Let f: RR by f(x) = −3x + 4. 1) Is f one-to-one? If yes, justify your answer; if no, give a counterexample. 2) Is fonto? If yes, justify your answer; if no, give a counterexample. 3) Is f a bijection? Justify your answer. h

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Let f: R → R by ƒ(x) = − 3x + 4. 1) Is f one-to-one? If yes, justify your answer; if no, give a counterexample. 2) Is fonto? If yes, justify your answer; if no, give a counterexample. 3) Is f a bijection? Justify your answer.
Transcribed Image Text:Let f: R → R by ƒ(x) = − 3x + 4. 1) Is f one-to-one? If yes, justify your answer; if no, give a counterexample. 2) Is fonto? If yes, justify your answer; if no, give a counterexample. 3) Is f a bijection? Justify your answer.
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