Let X be the set {5, -6, 2}. For the first three parts of this problem you are asked to define a function f: X→ X so that the relationun w w = f(u)satisfies each of the following conditions.(a)is reflexivef(x)(b) ~ is symmetric-6f(x)(c)~ is transitivef(x) |2)

Consider the set 5,-6,2. The function is f:X→X and the relation is u~w⇔w=fu. a) The relation is…

Answered: Let X be the set {5, –6, 2}. For the…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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This problem is about giving an example of a function from Z to Z that is onto, but not one-to-one. Select one of the following choices: (a) x + [x]-[x]. (c) 2 x/2 + 1. (b) [x/2 7. (d) [x].
= mx + b. 4. Let m and b be real numbers, and consider the following three functions: f(x) = 2x + 1, g(x) x + 2, and h(x) A. If function f has a codomain of (5, 7) U (7, 9), the largest its domain can be chosen is (2, 3) U (3, 4). Explain. B. If function g has a codomain of (−1, 1) U (1, 3), the largest its domain can be chosen is (-3, 3) U (3, 9). Explain. C. Within the context of the e- definition of a limit, your result from part A suggests that if € is equal to 2, the largest that can be chosen for function f(x) is 1. Explain. =
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NEXT 24 Given the function f(x, y, z) = (x + y)2(ī + y2 + z): Is the function satisfiable, and if so, which values for (x, y, z) show that it is satisfiable? Yes, it is satisfiable; (1,1,0) Yes, it is satisfiable; (0,0,1) No, it is not satisfiable; (1,1,0) No, it is not satisfiable; (0,0,1) NEXT > Question navigation BOOKMARK CLEAR
Suppose that the functions q and r are defined as follows. q (x)=x² +5 r (x)=/x+7 Find the following. (r •g) (2) = O (q •r)(2) = 0
2. Let f(x) = 3x – 7, find a linear function g for which f (g)= I and for which f(g (x)) =x for any number x the function g is: a. g:x →+7. 3 x+7 b. g:x→- 3 7-x c. g:x→ 3 x+7 d. g:x→- 3 x-7 e. g:x→ 3

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Let X be the set {5, –6, 2}. For the first three parts of this problem you are asked to define a function f :X→X so that the relation uv w + w = f(u) satisfies each of the following conditions. (a) ~ is reflexive f(x) (b) ~ is symmetric -6 2 f(x) (c) ~ is transitive -9- f(x)|