Table of contents
- 0. Review of Algebra4h 16m
- 1. Equations & Inequalities3h 18m
- 2. Graphs of Equations43m
- 3. Functions2h 17m
- 4. Polynomial Functions1h 44m
- 5. Rational Functions1h 23m
- 6. Exponential & Logarithmic Functions2h 28m
- 7. Systems of Equations & Matrices4h 6m
- 8. Conic Sections2h 23m
- 9. Sequences, Series, & Induction1h 19m
- 10. Combinatorics & Probability1h 45m
3. Functions
Intro to Functions & Their Graphs
1:06 minutes
Problem 1b
Textbook Question
Textbook QuestionFill in the blank to correctly complete each sentence. The point (-1, 3) lies in quadrant ________ in the rectangular coordinate system.
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Quadrants in the Coordinate System
The rectangular coordinate system, also known as the Cartesian plane, is divided into four quadrants. Quadrant I is where both x and y coordinates are positive, Quadrant II has a negative x and positive y, Quadrant III has both coordinates negative, and Quadrant IV has a positive x and negative y. Understanding these quadrants is essential for determining the location of points based on their coordinates.
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Coordinate Points
A coordinate point is represented as an ordered pair (x, y), where 'x' indicates the horizontal position and 'y' indicates the vertical position on the Cartesian plane. The sign of each coordinate determines the quadrant in which the point lies. For example, a point with a negative x and a positive y, like (-1, 3), will be located in Quadrant II.
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Sign of Coordinates
The sign of the coordinates (positive or negative) is crucial for identifying the quadrant of a point in the Cartesian plane. A positive x-coordinate indicates a position to the right of the origin, while a negative x-coordinate indicates a position to the left. Similarly, a positive y-coordinate indicates a position above the origin, and a negative y-coordinate indicates a position below it, helping to classify the point's location.
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