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