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Chapter 4 Vocabulary

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axes
perpendicular number lines
x-axis
the horizontal number line
y-axis
the vertical number line
coordinate plane
the plane containing the x- and y-axes
ordered pair
points in the coordinate plane, named (x, y)
x-coordinate
the first number of an ordered pair, corresponds to a number on the x-axis
y-coordinate
the second number of an ordered pair, corresponds to a number on the y-axis
origin
the point where the axes intersect, coordinates (0,0)
graph ordered pair
plot the point on the coordinate plane that corresponds to the ordered pair
midpoint
the halfway point of a segment between two ordered pairs, (add x coordinates/2, add y coordinates/2)
relation
a set of ordered pairs, can be represented by ordered pairs, a table, a graph or a mapping
mapping
illustrates how each element of the domain is paired with an element in the range
domain
the set of x values of a relation
range
the set of y values of a relation
inverse of any relation
switch the coordinates in each ordered pairs
equation in two variables
y = 3x - 4 is an example because it contains two variables, x and y
solution of an equation in two variables
an ordered pair of replacements for the variables that results in a true statement when substituted into the equation
independent variable
the domain values of a relation
dependent variable
the range values of a relation
function
a relationship between input and output values, there is exactly one output (range) value for each input (domain) value
coordinate system
where you can represent the graph of a function
linear equation
an equation that can be written in the form Ax + By = C
standard form of a linear equation
Ax + By = C, where A ≥ 0, A and B are not both zero, and A, B, and C are integers whose GCF is 1
x-intercept
the point where the graph of a line intersects the x-axis, has y-coordinate of 0
y-intercept
the point where the graph of a line intersects the y-axis, has x-coordinate of 0
function notation
ƒ(x), x represents elements of the domain, and ƒ(x) represents the elements of the range, "ƒ of x"
sequence
a set of numbers in a specific order
arithmetic sequence
a numerical pattern that increases or decreases at a constant rate
common difference
the rate at which an arithmetic sequence increases or decreases
nth term of an arithmetic sequence
first term + (n - 1)d