401,619 views
35 votes
35 votes
Determine whether each relation is a function. Give the domain and range for each relation.

{(3, 4), (3, 5), (4, 4), (4, 5)}

User Jeriley
by
2.6k points

1 Answer

25 votes
25 votes

Answer:

Not a function

Domain: {3,4}

Range: {4,5}

Explanation:

A function is a relation where each input has its own output. In other words if the x value has multiple corresponding y values then the relation is not a function

For the relation given {(3, 4), (3, 5), (4, 4), (4, 5)} the x value 3 and 4 have more than one corresponding y value therefore the relation shown is not a function

Now let's find the domain and range.

Domain is the set of x values in a relation.

The x values of the given relation are 3 and 4 so the domain is {3,4}

The range is the set of y values in a relation

The y value of the given relation include 4 and 5

So the range would be {4,5}

Notes:

The values of x and y should be written from least to greatest when writing them out as domain and range.

They should be written inside of brackets

Do not repeat numbers when writing the domain and range

User Ranya
by
2.4k points