Algebra 2 Graphing Flashcards
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Questions and Answers

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?

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.

<p>True (A)</p> Signup and view all the answers

What is the abscissa in coordinate terms?

<p>first coordinate</p> Signup and view all the answers

What are quadrants in a coordinate plane?

<p>four sections of the coordinate plane</p> Signup and view all the answers

What does 'range' mean in the context of functions?

<p>set of all possible second coordinates</p> Signup and view all the answers

What is an example of function notation?

<p>f(x)=2x-3 find f(4)</p> Signup and view all the answers

What are ordered pairs used for?

<p>used to graph points on the coordinate plane</p> Signup and view all the answers

Who was Rene Descartes?

<p>mathematician who developed coordinate geometry</p> Signup and view all the answers

What is mapping in mathematics?

<p>diagram using ovals and arrows to show a relation</p> Signup and view all the answers

What is a relation in mathematics?

<p>any set of ordered pairs</p> Signup and view all the answers

What defines a function?

<p>set of ordered pairs where each first coordinate has a unique second coordinate</p> Signup and view all the answers

How are the quadrants numbered?

<p>counterclockwise using Roman numerals</p> Signup and view all the answers

A continuous function is always depicted as a straight line.

<p>False (B)</p> Signup and view all the answers

Who is the French mathematician that the coordinate plane is named after?

<p>Cartesian mathematician</p> Signup and view all the answers

What are dots used for in relation to functions?

<p>what discrete functions are drawn by</p> Signup and view all the answers

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.

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