a) Consider the following functional relation, f, defined as: f:R - R, f(x) = x Determine whether or not f is a bijection. If it is, prove it. If it is not, show why it is not. b) Consider the set F = {y|y = ax' + b}, a, b being constants such that a + 0 and x e R. Is F =R? If so, prove it. If not, explain in details why it is not the case.
a) Consider the following functional relation, f, defined as: f:R - R, f(x) = x Determine whether or not f is a bijection. If it is, prove it. If it is not, show why it is not. b) Consider the set F = {y|y = ax' + b}, a, b being constants such that a + 0 and x e R. Is F =R? If so, prove it. If not, explain in details why it is not the case.
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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