Exercise 2.12. Determine whether or not the given functions f:Z Z are one-to-one or onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain why not. (A) f(r) = 2x + 3 (B) f(x) = |x| – 2 (C) f(z) = %3D (D) f(z) = r³ +1
Exercise 2.12. Determine whether or not the given functions f:Z Z are one-to-one or onto (or neither or both). If they are one-to-one or onto, prove it. If they are not, explain why not. (A) f(r) = 2x + 3 (B) f(x) = |x| – 2 (C) f(z) = %3D (D) f(z) = r³ +1
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.5: The Kernel And Range Of A Linear Transformation
Problem 30EQ
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