Find the domain and range for each relation.(A) {(−4,2),(−3,−5),(3,4),(5,−2)}\left\lbrace\left(-4,2\right),\left(-3,-5\right),\left(3,4\right),\left(5,-2\right)\right\rbrace

Domain: { − 4 , − 3 , 3 , 5 } \left\lbrace-4,-3,3,5\right\rbrace { − 4 , − 3 , 3 , 5 } , Range: { 2 , − 5 , 4 , − 2 } \left\lbrace2,-5,4,-2\right\rbrace

Find the domain and range for each relation.(A) { ( − 4 , 2 ) , ( − 3 , − 5 ) , ( 3 , 4 ) , ( 5 , − 2 ) } \left\lbrace\left(-4,2\right),\left(-3,-5\right),\left(3,4\right),\left(5,-2\right)\right\rbrace

This problem asks us to find the domain and range of each relation, and we'll start by finding the domain. Now notice for the relation, we are given this set of ordered pairs, and the domain is going to refer to all of the x values or inputs for each of the ordered pairs. So if I want to write out my domain, well that's gonna be negative four, negative three, three, and five. So that's my domain. Now as for the range, the range is going to be all of the outputs, which corresponds to all of the y values in the ordered pairs. So if I want to find my range, well, that's going to be two, negative five, four, and then negative two. So this is my domain and my range, and that would be the solution to this problem. I'll see you all in the next one.

Find the domain and range for each relation. (A) { ( − 4 , 2 ) , ( − 3 , − 5 ) , ( 3 , 4 ) , ( 5 , − 2 ) } \left\lbrace\left(-4,2\right),\left(-3,-5\right),\left(3,4\right),\left(5,-2\right)\right\rbrace

Domain: { − 4 , − 3 , 3 , 5 } \left\lbrace-4,-3,3,5\right\rbrace { − 4 , − 3 , 3 , 5 } , Range: { 2 , − 5 , 4 , − 2 } \left\lbrace2,-5,4,-2\right\rbrace

Domain: { − 4 , − 3 , 3 , 5 } \left\lbrace-4,-3,3,5\right\rbrace , Range: { − 4 , − 3 , 2 , 5 } \left\lbrace-4,-3,2,5\right\rbrace

Domain: , { − 4 , 2 , 3 , 5 } \left\lbrace-4,2,3,5\right\rbrace Range: { 2 , − 5 , 4 , − 2 } \left\lbrace2,-5,4,-2\right\rbrace

Domain: { − 4 , − 3 , 3 , 5 } \left\lbrace-4,-3,3,5\right\rbrace { − 4 , − 3 , 3 , 5 } , Range: { 5 , − 2 , 4 , − 5 } \left\lbrace5,-2,4,-5\right\rbrace

10. Relations and Functions

Introduction to Relations and Functions

Beginning & Intermediate Algebra

10. Relations and Functions

Introduction to Relations and Functions

Struggling with Beginning & Intermediate Algebra?

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Multiple Choice

Find the domain and range for each relation.
(A) ${(- 4, 2), (- 3, - 5), (3, 4), (5, - 2)}$

Domain: ${- 4, - 3, 3, 5}$ , Range: ${- 4, - 3, 2, 5}$

Domain: $\left\lbrace-4,-3,3,5\right\rbrace$ , Range: ${2, - 5, 4, - 2}$

Domain: , ${- 4, 2, 3, 5}$ Range: ${2, - 5, 4, - 2}$

Domain: $\left\lbrace-4,-3,3,5\right\rbrace$ , Range: ${5, - 2, 4, - 5}$

Verified step by step guidance

Identify the given relation as a set of ordered pairs: $\left\lbrace (-4,2), (-3,-5), (3,4), (5,-2) \right\rbrace$.

To find the domain, list all the first elements (x-values) from each ordered pair: $-4$, $-3$, \$3$, and $5$.

Write the domain as a set containing these x-values: $\left\lbrace -4, -3, 3, 5 \right\rbrace$.

To find the range, list all the second elements (y-values) from each ordered pair: \$2$, $-5$, $4$, and $-2$.

Write the range as a set containing these y-values: $\left\lbrace 2, -5, 4, -2 \right\rbrace$.

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