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Relations and Functions Dictionary

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  • The y value of an ordered pair. It represents the vertical placement of the point
    y-coordinate
  • A set of numbers, or coordinates written in the form (x,y)
    Ordered Pair
  • The result of substituting a value into a function
    Output
  • A function graphed with a line or smooth curve
    Continuous Graph
  • Formed by the intersection of two number lines, the horizontal axis and the vertical axis
    Coordinate Plane
  • A relation in which each element of the domain is paired with exactly one element of the range. (Hint: The x values do not repeat)
    Function
  • If any vertical line passes through the graph of a relation no more than once, then it is a fuction
    Vertical Line Test
  • Illustrates how each element of the domain is paired with an element of the range
    Mapping
  • A set of ordered pairs. {(-1,4), (0,6), (5,2)}
    Relation
  • A graph that consists of points that are not connected.
    Discrete Graph
  • A way to name a function that is defined by an equation. (Instead of y=mx+b, replace "y" with "f(x)")
    Function Notation
  • The set of x values of the ordered pairs in a relation
    Domain
  • The point at which the x and y axis intersect on the coordinate plane. (0,0)
    Origin
  • The x-value of an ordered pair. It represents the horizontal placement of the point.
    x-coordinate
  • The x-intercepts of the graph of a function. The points for which f(x) = 0
    Zeros
  • The set of y values of the ordered pairs in a relation
    Range
  • The four regions into which the x and y axis separate the coordinate plane
    Quadrants
  • The vertical axis on a coordinate plane
    y-axis
  • The horizontal axis on a coordinate plane.
    x-axis
  • A value substituted for an x-value in a function
    Input