what are the domain and range of this relation? domain: {-2, 1, 3, 4} range: {-4, -1, 2, 4} domain: {-2, 1…

what are the domain and range of this relation? domain: {-2, 1, 3, 4} range: {-4, -1, 2, 4} domain: {-2, 1, 4, 5} range: {-4, -1, 2, 3} domain: {-2, 1, 4, 5} range: {-4, -1, 2, 4} domain: {-2, 1, 3, 4} range: {-4, -1, 2, 3}

what are the domain and range of this relation? domain: {-2, 1, 3, 4} range: {-4, -1, 2, 4} domain: {-2, 1, 4, 5} range: {-4, -1, 2, 3} domain: {-2, 1, 4, 5} range: {-4, -1, 2, 4} domain: {-2, 1, 3, 4} range: {-4, -1, 2, 3}

Answer

Explanation:

Step1: Find the domain

The domain is the set of all (x -)values of the relation. Looking at the points ((-2,-1)), ((1,3)), ((4,2)), ((4, - 4)), the (x -)values are (-2), (1), (4). So the domain is ({-2,1,4}).

Step2: Find the range

The range is the set of all (y -)values of the relation. The (y -)values of the points ((-2,-1)), ((1,3)), ((4,2)), ((4, - 4)) are (-4), (-1), (2), (3). So the range is ({-4,-1,2,3}).

Answer:

domain: ({-2,1,4}), range: ({-4,-1,2,3}) (the second option in the given choices: domain: ({-2,1,4,5}) is wrong as (x = 5) is not a (x -)value of the points; domain: ({-2,1,3,4}) is wrong as there is no point with (x = 3); range: ({-4,-1,2,4}) is wrong as there is no point with (y = 4) (the (y -)value (4) is not among the (y -)coordinates of the given points))