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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=

Pergunta

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=

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=

Solução

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DanielProfissional · Tutor por 6 anos

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The domain of H is \(\{1, -3, 5, 7\}\) and the range of H is \(\{0, 1, -2, 7\}\).

Explicação

## Step 1<br />The 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 \(H=\{ (1,0),(-3,1),(5,-2),(7,7)\} \).<br /><br />## Step 2<br />The 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 \(H=\{ (1,0),(-3,1),(5,-2),(7,7)\} \).<br /><br />## Step 3<br />To 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 \(\{1, -3, 5, 7\}\).<br /><br />## Step 4<br />To 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 \(\{0, 1, -2, 7\}\).
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