Question 2: Let f(x):R¬R, f(x) = 2x² +5. a. Is f(x) one-to-one? Prove your answer. b. Is f(x) onto? Prove your answer. c. Is f(x) bijection? Prove your answer.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Question 2: Let f (x):R→R, f(x) = 2x2 +5.
a. Is f(x) one-to-one? Prove your answer.
b. Is f(x) onto? Prove your answer.
c. Is f(x) bijection? Prove your answer.
d. Does f(x) have inverse function? If so, find f -(x) and prove it is inverse function.
e. If you answered no for some of the above questions. For what domain and range the function
has an inverse function? Prove your answer.
Transcribed Image Text:Question 2: Let f (x):R→R, f(x) = 2x2 +5. a. Is f(x) one-to-one? Prove your answer. b. Is f(x) onto? Prove your answer. c. Is f(x) bijection? Prove your answer. d. Does f(x) have inverse function? If so, find f -(x) and prove it is inverse function. e. If you answered no for some of the above questions. For what domain and range the function has an inverse function? Prove your answer.
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