교과서 질문
In Exercises 1–14, express each interval in set-builder notation and graph the interval on a number line. [- 3, 1]
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Ch. 1 - Equations and Inequalities
Blitzer8th EditionCollege AlgebraISBN: 9780136970514
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Table of contents
- Ch. P - Fundamental Concepts of Algebra311
- Ch. 1 - Equations and Inequalities398
- Ch. 2 - Functions and Graphs407
- Ch. 3 - Polynomial and Rational Functions306
- Ch. 4 - Exponential and Logarithmic Functions247
- Ch. 5 - Systems of Equations and Inequalities173
- Ch. 6 - Matrices and Determinants143
- Ch. 7 - Conic Sections124
- Ch. 8 - Sequences, Induction, and Probability251
2장, 문제 3a
Plot the given point in a rectangular coordinate system. (- 2, 3)
검증된 단계별 안내1
Understand the rectangular coordinate system: It consists of two perpendicular axes, the x-axis (horizontal) and the y-axis (vertical), which intersect at the origin (0, 0). Points are represented as ordered pairs (x, y).
Identify the coordinates of the given point: The point (-2, 3) has an x-coordinate of -2 and a y-coordinate of 3.
Locate the x-coordinate: Start at the origin (0, 0) and move 2 units to the left along the x-axis because the x-coordinate is -2.
Locate the y-coordinate: From the position at x = -2, move 3 units up along the y-axis because the y-coordinate is 3.
Mark the point: Place a dot at the location where x = -2 and y = 3. This is the graphical representation of the point (-2, 3) in the rectangular coordinate system.
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Rectangular Coordinate System
A rectangular coordinate system, also known as the Cartesian coordinate system, consists of two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical). Each point in this system is defined by an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position. This system allows for the precise location of points in a two-dimensional space.
추천 영상:
가이드 코스
05:10
Graphs & the Rectangular Coordinate System
Plotting Points
Plotting points involves marking a specific location on the coordinate plane based on its coordinates. For the point (-2, 3), the x-coordinate is -2, which means you move 2 units left from the origin along the x-axis, and the y-coordinate is 3, indicating you move 3 units up along the y-axis. The intersection of these movements gives the exact location of the point.
추천 영상:
가이드 코스
04:29Graphing Equations of Two Variables by Plotting Points
Ordered Pairs
An ordered pair is a pair of numbers used to represent a point in a coordinate system, written in the form (x, y). The first number, 'x', corresponds to the horizontal position, while the second number, 'y', corresponds to the vertical position. The order of the numbers is crucial, as switching them would represent a different point in the coordinate plane.
추천 영상:
4:04Fundamental Counting Principle
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