Question

Create a mapping diagram of the relation. Define the domain and range. Tell whether the relation is a function. For both.

Answer 1

• For the first relation the ordered pairs are:(-2,-5),(-2,3),(1,-1),(2,3),(6,2)
• The domain refers to set of x-values of the relation.
• Domain: {-2,1,2,6}
• Range {-5,-1,2,3}
• Range refers to the set of all y-values of the relation.
• This relation is not a function because -2 alone has two different y-coordinates which are -5 and 3.
• For the second relation, the ordered pairs are: (-5,-4), (-3,-2), (-2,1),(0,2),(2,1),(3,0)
• Domain: {-5,-3,-2,1,0,2,3}
• Range:{-4,-2,0,1,2}
• This relation is a function because no x-value maps on to more than one y-value.
• For a mapping diagram, the set of all the x-coordinates form the domain and the corresponding y-coordinates are in the Range
• See attachment for the mapping diagram s.