/*! 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 10 Determine the quadrant(s) in whi... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 0: Problem 10

Determine the quadrant(s) in which \((x, y)\) is located so that the condition(s) is (are) satisfied. \(x<0\) and \(y<0\)

Short Answer

Expert verified
The coordinates (x, y) are in the Quadrant III when both \(x<0\) and \(y<0\).

Step by step solution

01

Understand the problem

The problem is asking for the quadrant where both the x and y coordinates are negative. In a typical Cartesian coordinate system, the x-axis and y-axis divide the plane into four quadrants, and the signs of x and y vary among the quadrants. The following are the sign conventions in each quadrant: Quadrant I (x>0, y>0), Quadrant II (x<0, y>0), Quadrant III (x<0, y<0), Quadrant IV (x>0, y<0).
02

Matching given conditions to the quadrant

Now, according to the condition given in the problem, both x and y are less than 0 i.e., x<0 and y<0. This means we are looking at a quadrant where both x and y coordinates are negative.
03

Conclusion

The conditions given in the problem match the conditions for Quadrant III, which implies that when x and y are both negative, the coordinates (x, y) will lie in Quadrant III.

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

In Exercises 39-54, (a) find the inverse function of \(f\), (b) graph both \(f\) and \(f^{-1}\) on the same set of coordinate axes, (c) describe the relationship between the graphs of \(f\) and \(f^{-1}\), and (d) state the domain and range of \(f\) and \(f^{-1}\). $$ f(x)=3 x+1 $$

In Exercises 55-68, determine whether the function has an inverse function. If it does, find the inverse function. $$ h(x)=-\frac{4}{x^{2}} $$

True or False? In Exercises 85 and 86, determine whether the statement is true or false. Justify your answer. $$ \text { If } f \text { is an even function, } f^{-1} \text { exists. } $$

Determine whether the function is even, odd, or neither. Then describe the symmetry. $$ h(x)=x^{3}-5 $$

In Exercises 39-54, (a) find the inverse function of \(f\), (b) graph both \(f\) and \(f^{-1}\) on the same set of coordinate axes, (c) describe the relationship between the graphs of \(f\) and \(f^{-1}\), and (d) state the domain and range of \(f\) and \(f^{-1}\). $$ f(x)=x^{5}-2 $$
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Logic and Functions

Read Explanation

Mechanics Maths

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

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.