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Algebra 2 Chapter 2 Vocabulary
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Chapter 2 Vocabulary Linear Relations and Functions
Terms in this set (39)
discrete relation
a relation in which the domain is a set of individual points
continuous relation
a relation that can be graphed with a line or a smooth curve
vertical line test
If no vertical line intersects the graph in more than one point, then
the graph represents a function.
independent variable
In a function, the variable, usually x, whose values make up the domain.
dependent variable
the other variable in a function, usually y, whose values depend on x
function notation
An equation of y in terms of x can be rewritten so that y = f(x).
For example y = 2x + 1 can be written as f(x) = 2x + 1
linear relations
relations that have straight line graphs
nonlinear relations
relations that are not linear
linear equation
an equation with not other operations other than addition, subtraction, and multiplication of a variable by a constant
linear function
a function with ordered pairs that satisfy a linear equation
standard form
A linear equation written in the form Ax + By = C, where A, B, and C are integers whose greatest common factor is 1, A is greater than or equal to 0, and A and B are not both zero
y-intercept
the y-coordinate of the point at which a graph crosses the y-axis
x-intercept
the x-coordinate of the point at which a graph crosses the x-axis
rate of change
a ratio that compares how much one quantity changes, on average, relative to the change in another quantitiy
slope
in a line, the ratio of he change in y-coordinates to the corresponding change in the x-coordinates; the same as the rate of change
slope-intercept form
Equations written in the form y = mx + b, where m is the slope and b is the y-intercept
point-slope form
An equation in the form y - y1 = m(x - x1), where (x1, y1) are the coordinates of a point on the line and m is the slope of the line
parallel lines
Nonvertical coplanar lines with the same slope
perpendicular lines
In a plane, any two oblique lines, the product of whose slopes is -1
bivariate data
Data with two variables
scatter plot or dot plot
A set of bivariate data graphed as ordered pairs in a coordinate plane
positive correlation
In a scatter plot, the slope of the line of fit is positive
negative correlation
In a scatter plot, the slope the line of fit is negative
line of fit
A line that closely approximates a set of data
prediction equation
An equation suggested by the points of a scatter plot that is used to predict other points
regression line
a line of best fit
correlation coefficient
a measure that shows how well data are modeled by a linear equation
piecewise defined function
A function that is written using two or more expressions
absolute value function
a function that contains an algebraic expression within absolute value symbols . f(x) = |x| is the parent graph
family of graphs
a group of graphs that display one or more similar characteristics
parent graph
graph of the parent function
parent function
the simplest graphs in a family
constant function
f(x) = a , where a is a constant
identity function
f(x) = x
quadratic function
f(x) = x^2
translation
moves a figure up, down, left , right
reflection
flips a figure over a line called a line of reflection
line of reflection
The line over which a reflection flips a figure
dilation
shrinks or enlarges a figure proportionally
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