Podcast
Questions and Answers
What is the definition of 'origin'?
What is the definition of 'origin'?
- horizontal axis
- set of all possible first coordinates
- a function drawn with a smooth curve
- (0,0) point on coordinate plane (correct)
What does 'x-axis' refer to?
What does 'x-axis' refer to?
horizontal axis
What is the domain of a function?
What is the domain of a function?
set of all possible first coordinates
The Vertical Line Test is used to determine if a certain graph is a function.
The Vertical Line Test is used to determine if a certain graph is a function.
What is the abscissa in coordinate terms?
What is the abscissa in coordinate terms?
What are quadrants in a coordinate plane?
What are quadrants in a coordinate plane?
What does 'range' mean in the context of functions?
What does 'range' mean in the context of functions?
What is an example of function notation?
What is an example of function notation?
What are ordered pairs used for?
What are ordered pairs used for?
Who was Rene Descartes?
Who was Rene Descartes?
What is mapping in mathematics?
What is mapping in mathematics?
What is a relation in mathematics?
What is a relation in mathematics?
What defines a function?
What defines a function?
How are the quadrants numbered?
How are the quadrants numbered?
A continuous function is always depicted as a straight line.
A continuous function is always depicted as a straight line.
Who is the French mathematician that the coordinate plane is named after?
Who is the French mathematician that the coordinate plane is named after?
What are dots used for in relation to functions?
What are dots used for in relation to functions?
Study Notes
Graphing Concepts in Algebra 2
- The origin of a coordinate plane is the point located at (0,0).
- The x-axis represents the horizontal line in a Cartesian coordinate system.
- Domain refers to the complete set of all possible first coordinates in a relation or function.
- The Vertical Line Test is a method to determine if a graph represents a function; if any vertical line intersects the graph more than once, it is not a function.
- The abscissa, also known as the x-coordinate, is the first number in an ordered pair.
- The quadrants of the coordinate plane are divided into four sections, labeled by Roman numerals I through IV, counterclockwise.
- Range is the set of all possible second coordinates in a function or relation.
- Example of function notation: f(x) = 2x - 3, which allows for easy evaluation like finding f(4).
- Ordered pairs consist of two values and are used to accurately plot points on the coordinate plane.
- René Descartes was a mathematician known for developing the principles of coordinate geometry, which laid the groundwork for modern graphing techniques.
- Mapping is a visual representation that uses ovals and arrows to illustrate the relationship between sets of ordered pairs.
- A relation is any collection of ordered pairs, without the restriction of the unique second coordinate.
- A function is a specific type of relation in which every first coordinate corresponds to a unique second coordinate.
- The numbering of quadrants is done in a counterclockwise direction, starting from the upper-right quadrant, labeled with Roman numerals.
- A continuous function is one that can be represented by a smooth, unbroken curve on a graph.
- The Cartesian coordinate plane is named after French mathematician René Descartes, known for his contributions to algebra and geometry.
- Dots are the graphical representations used for discrete functions, which consist of distinct and separate points.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of key terms in graphing for Algebra 2 with these flashcards. Each card provides a word and its definition, covering fundamental concepts necessary for understanding coordinates and functions. Perfect for students looking to reinforce their understanding of graphing concepts.