From the statements below select the correct ones. □ A function f from A to B is one-to-one iff for all x, y = A,x=y implies that f(x) = f(y). A function from X to Y is injective iff every element from X gets mapped to only one element in Y. O A function f from X to Y is injective iff for all a, b = X, f(a) f(b) implies that a = b. □ A function from A to B is injective iff different elements from A get mapped to different elements of B. O None of the above =

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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From the statements below select the correct ones.
□ A function f from A to B is one-to-one iff for all x, y = A, x = y implies that f(x) = f(y).
A function from X to Y is injective iff every element from X gets mapped to only one element in Y.
□ A function f from X to Y is injective iff for all a,b ≤ X, f(a) = f(b) implies that a = b.
□ A function from A to B is injective iff different elements from A get mapped to different elements of B.
O None of the above
Transcribed Image Text:From the statements below select the correct ones. □ A function f from A to B is one-to-one iff for all x, y = A, x = y implies that f(x) = f(y). A function from X to Y is injective iff every element from X gets mapped to only one element in Y. □ A function f from X to Y is injective iff for all a,b ≤ X, f(a) = f(b) implies that a = b. □ A function from A to B is injective iff different elements from A get mapped to different elements of B. O None of the above
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