Let A = the set of straight lines in the xy-plane. Let a L b mean “line a is parallel to line 6”. reflexive? symmetric? transitive? We can form "equivalence classes". Define [a] = {b € A | b is parallel to a}. For example: [y = x] = [x = 11] = [y = -2x] =

Q: 1. Use the following four relations to answer questions a) through d) below. i) {(-1,3), (2,4),…

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Q: Graph the following relation {(−2, y)| − 3 < y ≤ 4}

A: Explanation of the answer is as follows

Q: Recognize whether each relation is a function, and state its domain and range. a) b) 8- 24 -2 0 -N 2…

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Q: Which of the following shows a horizontal translation of the function y :3|피 + 87 %3D O y=-3지 + 8 O…

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Q: What Is the equation, in factored form, of the quadratic function shown In the graph? 5.

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Q: a. Find all relations from {a. b. c} to {u, v} b. Find all functions from {a. b. c} to {u, v} c.…

A: Let us take A= {a,b,c} and B={u,v}

Q: 8. What is the domain and range of the following relation? y=x²-2x-3 y 5 8 X

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Q: This

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Q: let a1 is (-3,2,6) a2 is (-9,-7,-2) and b is (-18,-27,-23). Is b in the span of of a1 and a2

A: The objective of this question is to determine whether the vector b is in the span of vectors a1 and…

Q: Given the relation U below, use ordered pair notation to express the relation U o U. U o U = { Ex:…

A: The question involves a relation U and asks us to express U o U using ordered pair notation.

Q: 9. Write each quadratic relation in standard form, then find the zeros. a) y = 2(x + 1)² - 50 b)…

A: Given :(a) y=2x+12-50(b)  y=-3x-12+48

Q: {(r.0):3<rs4 and so<- Neatly sketch the set of points

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Q: 4. Make a table of values for each relation. Use the table to determine if the relation is…

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Q: explain why the entire real line R is both open and closed.

A: In standard topology, the entire real line (R) is considered both open and closed. Let's break down…

Q: Describe (in the form y = (x)) the images of the lines u = 6 and v = 6 under the mapping G(u, v) =…

A: Solution