Question 3 10 pts Considerf:A Zdefined by f(x) = /(-x) [that is, the square root of negative x] Which of the following choices for A will make f a well defined function and why? (Look back at the definition of a function! That Zt matters!) Select all correct answers! Note: Zt is the set of all positive integers. O A= Ø, the empty set since the properties of a function (that each element in the domain is mapped to one and only one element of the co-domain) are trivially satisfied when A is empty. O A=R*, the set of all positive real numbers, since the square root of every positive real number exists. O A = Z”, the set of all negative integers, since if x e Z”, -x e Zt and the square root of a positive integer is a positive integer. O A={1,2,3}, since every element in the domain is assigned to an element of the codomain. O A={-z2 | ze Z” }, the set of negations of perfect squares, since if x € A, -x is a positive perfect square, and J(-x) is a positive integer. Show transcribed image text Question 3 10 pts Considerf:A Zdefined by f(x) = /(-x) [that is, the square root of negative x] Which of the following choices for A will make f a well defined function and why? (Look back at the definition of a function! That Zt matters!) Select all correct answers! Note: Zt is the set of all positive integers. O A= Ø, the empty set since the properties of a function (that each element in the domain is mapped to one and only one element of the co-domain) are trivially satisfied when A is empty. O A=R*, the set of all positive real numbers, since the square root of every positive real number exists. O A = Z”, the set of all negative integers, since if x e Z”, -x e Zt and the square root of a positive integer is a positive integer. O A={1,2,3}, since every element in the domain is assigned to an element of the codomain. O A={-z2 | ze Z” }, the set of negations of perfect squares, since if x € A, -x is a positive perfect square, and J(-x) is a positive integer.

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Answer to Question 3 10 pts Considerf:A Zdefined by f(x) = /(-x) [that is, the square root of negative x] Which of the following c…