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</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</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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