Question
Suppose that the relation H is defined as follows. H= (1,0),(-3,1),(5,-2),(7,7) Give the domain and range of H. Write your answers using set notation. domain= range=
Solution
4.5
(268 Votos)
Daniel
Profissional · Tutor por 6 anos
Resposta
The domain of H is
and the range of H is
.
Explicação
## Step 1The domain of a relation is the set of all first elements (x-values) in the ordered pairs. In this case, the relation H is defined as \(H=\{ (1,0),(-3,1),(5,-2),(7,7)\} \).## Step 2The range of a relation is the set of all second elements (y-values) in the ordered pairs. In this case, the relation H is defined as \(H=\{ (1,0),(-3,1),(5,-2),(7,7)\} \).## Step 3To find the domain, we look at the first elements of each ordered pair in H. These are 1, -3, 5, and 7. Therefore, the domain of H is
.## Step 4To find the range, we look at the second elements of each ordered pair in H. These are 0, 1, -2, and 7. Therefore, the range of H is
.