19. Suppose f : X →Y is a function. Which of the following are possible? Explain. a. f is injective but not surjective. b. fis surjective but not injective. C. X = |Y| and f is injective but not surjective. d. X = |Y| and f is surjective but not injective. е. |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. f is injective but not surjective. b. fis surjective but not injective. C. X = |Y| and f is injective but not surjective. d. X = |Y| and f is surjective but not injective. е. |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.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Can you explain or give a detail example of (e) and (f) for me. I actually tried to understand it but it is still difficult for me...Give me a good example!
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