/*! 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 3 Determine whether each relation ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Problem 3

Determine whether each relation is a function. Give the domain and range for each relation. $$\\{(3,4),(3,5),(4,4),(4,5)\\}$$

Short Answer

Expert verified
The given relation is not a function, as the same input gives multiple outputs. The domain is \{3, 4\} and the range is \{4, 5\}.

Step by step solution

01

- Identify whether the relation is a function

Examine each ordered pair in the relation. In the given relation, we have the pairs (3,4),(3,5),(4,4),(4,5). If an 'x' value (the first number in the pair) is repeated with different 'y' values (the second number in the pair), the relation is not a function. Here, 3 is paired with both 4 and 5, and 4 is paired with both 4 and 5. Therefore, this relation is not a function.
02

- Determine the domain

The domain of a relation consists of all 'x' values, i.e., the first elements in the ordered pairs. Even though the relation is not a function, we can still identify the domain. In this case, the domain is \{3, 4\}, obtained from the first elements of each ordered pair.
03

- Determine the range

The range of a relation consists of all 'y' values, i.e., the second elements in the ordered pairs. In this case, the range is \{4, 5\}, obtained from the second elements of each ordered pair.

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

Find and simplify. \(\frac{f(x)-f(h)}{x-h}\) $$f(x)=8 x+9$$

Write a linear function, \(f(x)=m x+b,\) satisfying the following conditions: $$f(0)=7 \quad \text { and } \quad f(1)=10$$

Graph the formula in Exercise 53 , $$y=-16 x^{2}+60 x+4$$ in a \([0,4,1]\) by \([0,65,5]\) viewing rectangle. Use the graph to verify your solution to the exercise.

Determine whether each statement is true or false If the statement is false, make the necessary change(s) to produce a true statement. The solutions of \(3 x^{2}-5=0\) are \(\frac{\sqrt{5}}{3}\) and \(-\frac{\sqrt{5}}{3}\)

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. When I use the square root property to determine the length of a right triangle's side, I don't even bother to list the negative square root.
See all solutions

Recommended explanations on Math Textbooks

Pure Maths

Read Explanation

Decision Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation

Probability and Statistics

Read Explanation

Logic and Functions

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.