/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 2 Determine whether each relation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 8: Problem 2

Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(4,5),(6,7),(8,8)\\}$$

Short Answer

Expert verified
The given relation \{(4,5),(6,7),(8,8)\} is indeed a function. Its domain is \{4,6,8\} and its range is \{5,7,8\}.

Step by step solution

01

Determine whether the Relation is a Function

To check whether the relation \{(4,5),(6,7),(8,8)\} is a function, examine if each 'x' value (first element of each pair) is paired with exactly one 'y' value (second element of each pair). Here, the 'x' values (4, 6, 8) are all different and each is associated with just one 'y' value. Therefore, this relation is indeed a function.
02

Find the Domain

The domain of a relation are the set of all 'x' values. In this relation, \{(4,5),(6,7),(8,8)\}, the domain is \{4,6,8\}.
03

Find the Range

The range of a relation are the set of all 'y' values. In this relation, \{(4,5),(6,7),(8,8)\}, the range is \{5,7,8\}.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

If \(f(x)=\frac{4}{x-3},\) why must 3 be excluded from the domain of \(f ?\)

Describe how to find the inverse of a one-to-one function.

Simplify: \(3\left(\frac{x-2}{3}\right)+2\)

What is the horizontal line test and what does it indicate?

Use a graphing utility to graph \(f\) and \(g\) in the same viewing rectangle. In addition, graph the line \(y=x\) and visually determine if \(f\) and g are inverses. $$f(x)=\sqrt[3]{x}-2, \quad g(x)=(x+2)^{3}$$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Decision Maths

Read Explanation

Calculus

Read Explanation

Logic and Functions

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.