Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

determine whether the relation is a function. give the domain and the r…

Question

determine whether the relation is a function. give the domain and the range of the relation
{(2,3),(2,6),(6,3),(6,6)}

is this a function?
no
yes
the domain is {2,6}.
(use a comma to separate answers as needed.)
the range is {}.
(use a comma to separate answers as needed.)

Explanation:

Step1: Recall range definition

The range of a relation is the set of all second elements (y - values) in the ordered pairs.

Step2: Identify second elements

From the ordered pairs \((2,3),(2,6),(6,3),(6,6)\), the second elements are \(3, 6, 3, 6\).

Step3: Form the range set

We take the unique values from these second elements, so the range is the set of distinct y - values, which are \(3\) and \(6\).

Answer:

The range is \(\{3, 6\}\)