Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

suppose that the relation s is defined as follows. s = {(1, p), (p, 0),…

Question

suppose that the relation s is defined as follows. s = {(1, p), (p, 0), (8, m), (9, 9)} give the domain and range of s. write your answers using set notation. domain: range:

Explanation:

Step1: Identify domain elements

The domain of a relation is the set of all first elements from each ordered pair. For $S=\{(1, p), (p, 0), (8, m), (9, 9)\}$, these elements are $1, p, 8, 9$.

Step2: Write domain in set notation

$\{1, p, 8, 9\}$

Step3: Identify range elements

The range of a relation is the set of all second elements from each ordered pair. For $S=\{(1, p), (p, 0), (8, m), (9, 9)\}$, these elements are $p, 0, m, 9$.

Step4: Write range in set notation

$\{p, 0, m, 9\}$

Answer:

domain: $\{1, p, 8, 9\}$
range: $\{0, 9, p, m\}$