Questions and Answers
What is the definition of 'origin'?
What does 'x-axis' refer to?
horizontal axis
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.
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What is the abscissa in coordinate terms?
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What are quadrants in a coordinate plane?
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What does 'range' mean in the context of functions?
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What is an example of function notation?
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What are ordered pairs used for?
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Who was Rene Descartes?
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What is mapping in mathematics?
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What is a relation in mathematics?
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What defines a function?
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How are the quadrants numbered?
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A continuous function is always depicted as a straight line.
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Who is the French mathematician that the coordinate plane is named after?
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What are dots used for in relation to functions?
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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.
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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.
