Chapter 2: Q64. (page 67)

State the domain and range of each relation. Then graph the relation and determine whether it is a function.
64. $\{(- 1, 5), (1, 3), (2, - 4), (4, 3)\}$

Short Answer

Expert verified

The domain of the given relation is $\{- 1, 1, 2, 4\}$ and range is $\{5, 3, - 4, 3\}$ .

Step by step solution

Step 1- Given information

A relation set $\{(- 1, 5), (1, 3), (2, - 4), (4, 3)\}$ .

Step 2- Concept used

The domain of a relation set is the set of all first elements of the ordered pairs.

The range of a relation set is the set of all second elements of the ordered pairs.

A relation set is called a function if every element of domain has a unique image.

Step 3- To find domain and range

The relation set is:

$\{(- 1, 5), (1, 3), (2, - 4), (4, 3)\}$

The domain of the given relation set is:

$\{- 1, 1, 2, 4\}$

The range of the given relation set is:

$\{5, 3, - 4, 3\}$

Here, each element of the domain has a unique image.

So, the given relation set is a function.

Step 4- The graph of the relation

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State the domain and range of each relation. Then graph the relation and determine whether it is a function.
64. $\{(- 1, 5), (1, 3), (2, - 4), (4, 3)\}$

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find domain and range

Step 4- The graph of the relation

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State the domain and range of each relation. Then graph the relation and determine whether it is a function.64. -1,5,1,3,2,-4,4,3

Short Answer

Step by step solution

Step 1- Given information

Step 2- Concept used

Step 3- To find domain and range

Step 4- The graph of the relation

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Logic and Functions

Statistics

Geometry

Calculus

Applied Mathematics

Discrete Mathematics

Study anywhere. Anytime. Across all devices.

State the domain and range of each relation. Then graph the relation and determine whether it is a function.
64. $\{(- 1, 5), (1, 3), (2, - 4), (4, 3)\}$