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 { 2 , − 5 , 4 , − 2 }

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 { 2 , − 5 , 4 , − 2 }

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

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

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 { 5 , − 2 , 4 , − 5 }

4. Graphs and Functions

Introduction to Relations and Functions

Intermediate Algebra

4. Graphs and Functions

Introduction to Relations and Functions

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Multiple Choice

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

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

Domain: $\left\lbrace-4,-3,3,5\right\rbrace$ , Range: $\left\lbrace2,-5,4,-2\right\rbrace$

Domain: , $\left\lbrace-4,2,3,5\right\rbrace$ Range: $\left\lbrace2,-5,4,-2\right\rbrace$

Domain: $\left\lbrace-4,-3,3,5\right\rbrace$ , Range: $\left\lbrace5,-2,4,-5\right\rbrace$

Verified step by step guidance

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

Recall that the domain of a relation is the set of all first elements (x-values) from each ordered pair.

Extract the x-values from each pair: $-4$, $-3$, \$3$, and $5$ to form the domain: $\left\lbrace -4, -3, 3, 5 \right\rbrace$.

Recall that the range of a relation is the set of all second elements (y-values) from each ordered pair.

Extract the y-values from each pair: \$2$, $-5$, $4$, and $-2$ to form the range: $\left\lbrace 2, -5, 4, -2 \right\rbrace$.

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