Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х, у) € ЕХ F, х —у 3 is an integer. (x, y) ET means that a. Is 3 T 0? Is 1 T (-1)? Is (2, -1) E T? Is (3, –2) E T? b. Write T as a set of ordered pairs. c. Write the domain and co-domain of T.

Let E = {1, 2, 3} and F = {-2, –1, 0} and define a relation T from E to F as follows: For every (х, у) € ЕХ F, х —у 3 is an integer. (x, y) ET means that a. Is 3 T 0? Is 1 T (-1)? Is (2, -1) E T? Is (3, –2) E T? b. Write T as a set of ordered pairs. c. Write the domain and co-domain of T.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

Determine whether the function f from {a, b, c, d} to {1, 2, 3, 4, 5} with f (a) = 4, f (b) = 5, f (c) = 1, and f (d) = 3 is one-to-one.
Consider the relation R = {(1,1);(2,3);(3,5);(4,7)}. a. Prove that R is a function from {1,2,3,4} to {1,2,3,4;5,6,7}. b. Find a concise formula.
= 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. =
A = {1, 2, 3, 5} and B = {4, 6, 9}. Define a relation R from A to B by R = {(x, y): the difference between x and y is odd; x ∈ A, y ∈ B}. Write R in roster form.
Let A = B = Z. Let R be the relation from A to B defined by a Rb if and only if a? – b² = 9. - Determine the following: (a) List all ordered pairs in R: (b) Dom(R) = (c) Rng(R)
Determine the domain and range of the relation R defined byR = {(x, x + 5) : x ∈ {0, 1, 2, 3, 4, 5}}.
2. What rule can you use to determine, from the graph of a relation, whether the relation is a function? Graph each relation and determine which are functions. a) {(-2, 1), (1, 1), (0, 0), d) x² + y² = 1 (1, – 1), (1, – 2), (2, – 2)} b) y = 4 – 3x 1 e) у c) y = (x – 2)² + 4 f) y = Vx
2. Let C = D = {-3, –2, –1, 1, 2, 3} and define a relation S from C to D as follows: For all (x, y) e C x D, 1 (x, y) E S means that 1 is an integer. y a. Is 2 S 2? Is –1S – 1? Is (2, 2) e S? Is (2, –-2) e S? b. Write S as a set of ordered pairs.