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Cartesian coordinate plane
________: composed of the x- axis (horizontal) and the y- axis (vertical), which meet at the origin (0, 0)
Boundary
________: a line that shows the points that satisfy the inequality.
Domain
________: a relation is the set of all first coordinates (x- coordinates) from the ordered pairs.
Discrete
________: a relation in which the domain is a set of individual points.
smooth curve
Continuous: a relation that can be graphed with a line or a(n) ________.
Identity function
________: when the slope is 1, the x- values and y- values are equal.
Linear equation
________: an equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant.
slope
If the line falls to the right, the ________ is negative.
Scatter plot
________: a set of bivariate data graphed as ordered pairs in the coordinate plane.
Piecewise
________: a function written using two or more expressions.
vertical line
If no ________ intersects a graph in more than one point, the graph is a function.
Constant function
________: when the slope is zero, every y- value is constant no matter what the x- value is.
Rate of change
________: measures how much a quantity changes relative to the change in another quantity.
Slope
________: the ratio of the change in y- coordinates to the corresponding change in x- coordinates.
ordered pairs
data represented as an input and output, (x, y)
Cartesian coordinate plane
composed of the x-axis (horizontal) and the y-axis (vertical), which meet at the origin (0, 0)
relation
a set of ordered pairs
domain
a relation is the set of all first coordinates (x-coordinates) from the ordered pairs
range
the set of all second coordinates (y-coordinates) from the ordered pairs
function
a special relation in which each domain value is paid with exactly **__ONE __**range value
mapping
shows how the members are paired
one-to-one function
a mapping in which each range value is paired with exactly ONE domain value
discrete
a relation in which the domain is a set of individual points
continuous
a relation that can be graphed with a line or a smooth curve
vertical line test
how to test is a graph is a function
independent variable
the variable whose values make up the domain (usually x)
dependent variable
the variable whose values make up the range, the values that depend on the x (usually the y)
linear equation
an equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant
linear function
a function whose ordered pairs satisfy a linear equation
can be written in the form
f(x) = mx + b, where m and b are real numbers
standard form
Ax + By = C, where A, B, and C are integers whose greatest common factor is 1
y-intercept
the y-coordinate of the point where a graph crosses the y-axis
x-intercept
the x-coordinate of the point where it crosses the x-axis
rate of change
measures how much a quantity changes relative to the change in another quantity
slope
the ratio of the change in y-coordinates to the corresponding change in x-coordinates
family of graphs
a group of graphs that displays one or more similar characteristics
parent graph
the simplest of the graphs in the family
parallel lines
nonvertical lines with the same slope
perpendicular lines
two lines are perpendicular if and ONLY if the product of their slopes is -1
bivariate data
data with two variables
scatter plot
a set of bivariate data graphed as ordered pairs in the coordinate plane
positive correlation
positive slope in the scatter plot
negative correlation
negative slope in the scatter plot
no correlation
no visible trend, points are scattered and dont have a positive or negative direction
line of fit
a line that approximates a set of data
prediction equation
the equation for a line of fit
step function
a function that is not linear, consists of line segments or rays
greatest integer function
an example of a step function
constant function
when the slope is zero, every y-value is constant no matter what the x-value is
identity function
when the slope is 1, the x-values and y-values are equal
absolute value function
f(x) = |x|
piecewise
a function written using two or more expressions
boundary
a line that shows the points that satisfy the inequality
ordered pairs
data represented as an input and output, (x, y)
Cartesian coordinate plane
composed of the x-axis (horizontal) and the y-axis (vertical), which meet at the origin (0, 0)
relation
a set of ordered pairs
domain
the set of all first coordinates (x-coordinates) from the ordered pairs
range
the set of all second coordinates (y-coordinates) from the ordered pairs
function
a special relation in which each domain value is paid with exactly ONE range value
mapping
shows how the members are paired
one-to-one function
a mapping in which each range value is paired with exactly ONE domain value
discrete
a relation in which the domain is a set of individual points
continuous
a relation that can be graphed with a line or a smooth curve
vertical line test
how to test is a graph is a function
independent variable
the variable whose values make up the domain (usually x)
dependent variable
the variable whose values make up the range, the values that depend on the x (usually the y)
linear equation
an equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant
linear function
a function whose ordered pairs satisfy a linear equation
standard form
Ax + By = C, where A, B, and C are integers whose greatest common factor is 1
y-intercept
the y-coordinate of the point where a graph crosses the y-axis
x-intercept
the x-coordinate of the point where it crosses the x-axis
rate of change
measures how much a quantity changes relative to the change in another quantity
slope
the ratio of the change in y-coordinates to the corresponding change in x-coordinates
family of graphs
a group of graphs that displays one or more similar characteristics
parent graph
the simplest of the graphs in the family
parallel lines
nonvertical lines with the same slope
perpendicular lines
if and ONLY if the product of two lines' slopes is -1
slope-intercept form
an equation written in the form: y = mx + b, where m is the slope and b is the y-intercept
point-slope form
an equation written in the form: y - y1 = m(x - x1), where x1 and y1 are coordinates of a point on the line
bivariate data
data with two variables
scatter plot
a set of bivariate data graphed as ordered pairs in the coordinate plane
positive correlation
positive slope in the scatter plot
negative correlation
negative slope in the scatter plot
no correlation
no visible trend, points are scattered and don’t have a positive or negative direction
line of fit
a line that approximates a set of data
prediction equation
the equation for a line of fit
step function
a function that is not linear, consists of line segments or rays
greatest integer function
an example of a step function, f(x) = [x]
constant function
when the slope is zero, every y-value is constant no matter what the x-value is
identity function
when the slope is 1, the x-values and y-values are equal
piecewise
a function that is written using two or more expressions
boundary
a line that shows the points that satisfy the inequality
