Given. f: {a, b, c, d} to itself f(a) = d, f(c) = a, f(a) = b, f(d) = c, f(b) = a Which of the following is/are true? Check all that applies. O f is not a function. O f is a function. O f is one-to-one. O f is onto. O f is one-to-one correspondence.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter1: Fundamentals
Section1.3: Properties Of Composite Mappings (optional)
Problem 12E: Let f:AB and g:BA. Prove that f is one-to-one and onto if fg is one to-one and gf onto.
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I need help in this question of function.

Given.
f: {a, b, c, d} to itself
f(a) = d, f(c) = a, f(a) = b, f(d) = c, f(b) = a
Which of the following is/are true? Check all that applies.
O f is not a function.
O f is a function.
O f is one-to-one.
O f is onto.
O f is one-to-one correspondence.
Transcribed Image Text:Given. f: {a, b, c, d} to itself f(a) = d, f(c) = a, f(a) = b, f(d) = c, f(b) = a Which of the following is/are true? Check all that applies. O f is not a function. O f is a function. O f is one-to-one. O f is onto. O f is one-to-one correspondence.
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