19. Suppose f :X Y is a function. Which of the following are possible? Explain. a. fis injective but not surjective. b. fis surjective but not injective. С. |X| = |Y| and f is injective but not surjective. d. X| = |Y| and f is surjective but not injective. e. X| = |Y|, X and Y are finite, and f is injective but not surjective. f. X = |Y|, X and Y are finite, and f is surjecive but not injective.
19. Suppose f :X Y is a function. Which of the following are possible? Explain. a. fis injective but not surjective. b. fis surjective but not injective. С. |X| = |Y| and f is injective but not surjective. d. X| = |Y| and f is surjective but not injective. e. X| = |Y|, X and Y are finite, and f is injective but not surjective. f. X = |Y|, X and Y are finite, and f is surjecive but not injective.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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