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• -4 -3 -1 4- 3++ 2- 1 -1- 'y -24 -3+ 1 2 3 (a) Write a set of ordered pairs (x, y) that defines the relation. (b) Write the domain of the relation. (c) Write the range of the relation. (d) Determine if the relation defines y as a function of x.

• -4 -3 -1 4- 3++ 2- 1 -1- 'y -24 -3+ 1 2 3 (a) Write a set of ordered pairs (x, y) that defines the relation. (b) Write the domain of the relation. (c) Write the range of the relation. (d) Determine if the relation defines y as a function of x.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The graph displays a set of points on a coordinate plane. There are five distinct points plotted as follows: 1. Point at (-3, 4) 2. Point at (-3, 2) 3. Point at (-2, 0) 4. Point at (0, -1) 5. Point at (2, 1) The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. Both axes have uniform grid lines. (a) **Write a set of ordered pairs \((x, y)\) that defines the relation:** - \((-3, 4)\) - \((-3, 2)\) - \((-2, 0)\) - \((0, -1)\) - \((2, 1)\) (b) **Write the domain of the relation:** - The domain (set of all x-values) is \(\{-3, -2, 0, 2\}\). (c) **Write the range of the relation:** - The range (set of all y-values) is \(\{4, 2, 0, -1, 1\}\). (d) **Determine if the relation defines \(y\) as a function of \(x\):** - No, this is not a function because the x-value \(-3\) is associated with more than one y-value (\(4\) and \(2\)). In a function, each x-value must correspond to exactly one y-value.
Transcribed Image Text:The graph displays a set of points on a coordinate plane. There are five distinct points plotted as follows: 1. Point at (-3, 4) 2. Point at (-3, 2) 3. Point at (-2, 0) 4. Point at (0, -1) 5. Point at (2, 1) The x-axis ranges from -5 to 5, and the y-axis ranges from -5 to 5. Both axes have uniform grid lines. (a) **Write a set of ordered pairs \((x, y)\) that defines the relation:** - \((-3, 4)\) - \((-3, 2)\) - \((-2, 0)\) - \((0, -1)\) - \((2, 1)\) (b) **Write the domain of the relation:** - The domain (set of all x-values) is \(\{-3, -2, 0, 2\}\). (c) **Write the range of the relation:** - The range (set of all y-values) is \(\{4, 2, 0, -1, 1\}\). (d) **Determine if the relation defines \(y\) as a function of \(x\):** - No, this is not a function because the x-value \(-3\) is associated with more than one y-value (\(4\) and \(2\)). In a function, each x-value must correspond to exactly one y-value.
Expert Solution
Step 1

(a) The relation is given by, 

         R = {(-3, 4), (-3, 3), (-2, 0), (-1, 0), (2, 1)}

 

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