Question

Determine whether the relation defines a function, and give the domain and range.{(-8, 7),(4.7).(-9, 1);

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Define when a relation defines a function

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs), which follows a rule i.e., every X-value should be associated with only one y-value is called a function.

The domain is the set of all first elements of the ordered pairs. The range on the other hand is the set of all second elements of the ordered pairs.

Since every x-values of the given relation is associated with only one y-value, therefore it defines a function.

The domain is given as:

`\lbrace-8,4,-9\rbrace`

The range is given as:

`\lbrace7,7,1\rbrace`