/*! 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 4 Determine whether each relation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Problem 4

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

Short Answer

Expert verified
The given relation is not a function. The domain of the relation is \{5, 6\} and the range is \{6, 7\}.

Step by step solution

01

Identify the Domain and Range

In the given set, the first elements of each ordered pair form the domain and the second elements form the range. Thus, the domain consists of elements \{5, 6\} and the range includes elements \{6, 7\}.
02

Check for Functionality

Recall that for a relation to be a function, each element in the domain should map to exactly one element in the range. Here, there are two ordered pairs with '5' in the domain, and both are paired with different elements in the range, i.e., '6' and '7'. Similarly, there are two ordered pairs with '6' in the domain which are also paired with different elements in the range. This means that each element in the domain does not map to exactly one element in the range. Thus, this relation is not a function.

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 a function is defined by an equation, explain how to find its domain.

graph both equations in the same rectangular coordinate system and find all points of intersection. Then show that these ordered pairs satisfy the equations. $$\begin{array}{r} {x^{2}+y^{2}=16} \\ {x-y=4} \end{array}$$

Find a. \((f \circ g)(x)\) b. the domain of \(f \circ g\) $$f(x)=\frac{x}{x+1}, g(x)=\frac{4}{x}$$

In your own words, describe how to find the distance between two points in the rectangular coordinate system.

Use a graphing utility to graph each circle whoseequation is given. Use a square setting for the viewing window. $$(y+1)^{2}=36-(x-3)^{2}$$
See all solutions

Recommended explanations on Math Textbooks

Applied Mathematics

Read Explanation

Pure Maths

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Calculus

Read Explanation

Statistics

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.