Question

suppose that the relation g is defined as follows. g = {(1, p), (7, p), (5, 0)} give the domain and range of g. write your answers using set notation. domain: range:

Explanation:

Step1: Recall domain definition

The domain of a relation is the set of all first - elements of the ordered pairs.

Step2: Identify domain elements

The first - elements of the ordered pairs in $G=\{(1,p),(7,p),(5,0)\}$ are $1$, $7$, and $5$. So the domain is $\{1,5,7\}$.

Step3: Recall range definition

The range of a relation is the set of all second - elements of the ordered pairs.

Step4: Identify range elements

The second - elements of the ordered pairs in $G$ are $p$, $p$, and $0$. Since we don't repeat elements in a set, the range is $\{0,p\}$.

Answer:

domain: $\{1,5,7\}$
range: $\{0,p\}$