Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

suppose that the relation h is defined as follows. h = {(7, b), (4, c),…

Question

suppose that the relation h is defined as follows.
h = {(7, b), (4, c), (7, d)}
give the domain and range of h.
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 the ordered pairs. From $H=\{(7, b), (4, c), (7, d)\}$, the first elements are 7, 4, 7. We only list unique values.
Domain set: $\{4, 7\}$

Step2: Identify range elements

The range of a relation is the set of all second elements from the ordered pairs. From $H=\{(7, b), (4, c), (7, d)\}$, the second elements are $b, c, d$. All values are unique.
Range set: $\{b, c, d\}$

Answer:

domain: $\{4, 7\}$
range: $\{b, c, d\}$