3. Consider a function: f: AB where A, B are sets. Which of the following is true: a) if |A| > |B| then ƒ is injective b) if |A| > |B| then f is surjective c) if |A| < |B| then ƒ is not injective d) if |A| < |B| then ƒ is not surjective

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.1: Functions
Problem 5E: A Function f is a rule that assigns to each element x in a set A exactly ________ element(s) called...
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3.
Consider a function:
f: AB where A, B are sets. Which of the following is true:
a) if |A| > |B| then ƒ is injective
b) if |A| > |B| then f is surjective
c) if |A| < |B| then ƒ is not injective
d) if |A| < |B| then ƒ is not surjective
Transcribed Image Text:3. Consider a function: f: AB where A, B are sets. Which of the following is true: a) if |A| > |B| then ƒ is injective b) if |A| > |B| then f is surjective c) if |A| < |B| then ƒ is not injective d) if |A| < |B| then ƒ is not surjective
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