Are the following statements true for all functions f and for all subsets A and B of the domain of f?O {f(x): r EA} - {f(x) : x E B} is a subset of {f(x): x E A - B}(ii) {f(x) : x E A - B} is a subset of {f(x) : a E A} – {f(x): a E B}O Yes for (i). Yes for (ii).Yes for (i). No for (ii).O No for (i). Yes for (ii).O No for (i). No for (ii).

Answered: Image /qna-images/answer/73159586-be7a-451c-9d75-6857f6bf5054.jpg

Are the following statements true for all functions f and for all subsets A and B of the domain of f? () {f(x): E A}- {f(x): z E B} is a subset of {f(x): x € A - B} (ii) {f(x):x E A- B} is a subset of {f(x) : a E A} - {f(x):z € B} O Yes for (i). Yes for (ii). 47 OYes for (i). No for (ii). O No for (i). Yes for (ii). O No for (i). No for (ii).

Are the following statements true for all functions f and for all subsets A and B of the domain of f? () {f(x): E A}- {f(x): z E B} is a subset of {f(x): x € A - B} (ii) {f(x):x E A- B} is a subset of {f(x) : a E A} - {f(x):z € B} O Yes for (i). Yes for (ii). 47 OYes for (i). No for (ii). O No for (i). Yes for (ii). O No for (i). No for (ii).

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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For a function f , the set of all possible inputs is called the ________ of f , and the set of all possible outputs is called the _________of f .
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