Identify the domain and range of the following relation.
left-brace left-parenthesis 3 comma 7 right-parenthesis comma left-parenthesis 3 comma 8 right-parenthesis comma left-parenthesis 3 comma negative 2 right-parenthesis comma left-parenthesis 3 comma 4 right-parenthesis comma left-parenthesis 3 comma 1 right-parenthesis right-brace
(1 point)
Responses
Domain: left-brace 3 right-brace
Range: left-brace negative 2 comma 1 comma 4 comma 7 comma 8 right-brace
Domain: Image with alt text: left-brace 3 right-brace Range: Image with alt text: left-brace negative 2 comma 1 comma 4 comma 7 comma 8 right-brace
Domain: left-brace negative 2 comma 1 comma 4 comma 7 comma 8 right-brace
Range: left-brace 3 right-brace
Domain: Image with alt text: left-brace negative 2 comma 1 comma 4 comma 7 comma 8 right-brace Range: Image with alt text: left-brace 3 right-brace
Domain: left-brace all real numbers right-brace
Range: left-brace all real numbers right-brace
Domain: Image with alt text: left-brace all real numbers right-brace Range: Image with alt text: left-brace all real numbers right-brace
Domain: empty set
Range:empty set
Domain: Image with alt text: empty set Range: Image with alt text: empty set
Domain: {3}
Range: {-2, 1, 4, 7, 8}
Determine whether the following relation is a function.
left-brace left parenthesis 3 comma 7 right-parenthesis comma left-parenthesis 3 comma 8 right-parenthesis comma left-parenthesis 3 comma negative 2 right-parenthesis comma left-parenthesis 3 comma 4 right-parenthesis comma left-parenthesis 3 comma 1 right-parenthesis right-brace
(1 point)
Responses
It is a function because the ordered pairs all have the same x-value.
It is a function because the ordered pairs all have the same x -value.
It is not a function because there are multiple y-values paired with a single x-value.
It is not a function because there are multiple y -values paired with a single x -value.
It is a function because none of the ordered pairs have the same y-value.
It is a function because none of the ordered pairs have the same y -value.
It is not a function because none of the ordered pairs have the same y-value.
It is a function because the ordered pairs all have the same x-value.
To find the domain and range of a relation, you need to analyze the set of input values (domain) and the set of output values (range) in the relation.
In this case, the relation is given as:
{(3, 7), (3, 8), (3, -2), (3, 4), (3, 1)}
The domain refers to the set of input values, which in this case is the set of x-values. Since all the x-values are 3 in this relation, the domain is {3}.
The range refers to the set of output values, which in this case is the set of y-values. The y-values in the relation are 7, 8, -2, 4, and 1. So, the range is {-2, 1, 4, 7, 8}.
Therefore, the correct answer is:
Domain: {3}
Range: {-2, 1, 4, 7, 8}