Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

suppose that the relation h is defined as follows. h = {(6, q), (1, 0),…

Question

suppose that the relation h is defined as follows.
h = {(6, q), (1, 0), (7, q)}
give the domain and range of h.
write your answers using set notation.
domain:
range:

Explanation:

Step1: Find the domain

The domain of a relation is the set of all first elements (x - values) in the ordered pairs. For the relation \( H = \{(6, q), (1, 0), (7, q)\} \), the first elements are 6, 1, and 7.
So, the domain is the set containing these values.

Step2: Find the range

The range of a relation is the set of all second elements (y - values) in the ordered pairs. For the relation \( H = \{(6, q), (1, 0), (7, q)\} \), the second elements are \( q \), 0, and \( q \). Since we only need unique values in the set, the range is the set containing 0 and \( q \).

Answer:

domain: \(\{1, 6, 7\}\)
range: \(\{0, q\}\)