Let A = B = {1, 2, 3}, and consider the function f: A → B defined as follows: f(1) = 3, f(2) = 1, f(3) = 3. f is onto only f is one-to-one only f is one-to-one correspondence f is neither one-to-one nor onto
Let A = B = {1, 2, 3}, and consider the function f: A → B defined as follows: f(1) = 3, f(2) = 1, f(3) = 3. f is onto only f is one-to-one only f is one-to-one correspondence f is neither one-to-one nor onto
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.2: Mappings
Problem 23E: Let a and b be constant integers with a0, and let the mapping f:ZZ be defined by f(x)=ax+b. Prove...
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Let A = B = {1, 2, 3}, and consider the function f: A → B defined as follows: f(1) = 3, f(2) = 1, f(3) = 3.
f is onto only
f is one-to-one only
f is one-to-one correspondence
f is neither one-to-one nor onto
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