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Algebra 2 Trig Chapter 2 Vocab
Algebra 2 Trig Chapter 2 Vocabulary
37
Mathematics
9th Grade
09/27/2017

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Term
ordered pairs
Definition
a pair of coordinates, written in the form (x,y), used to locate any point on a coordinate plane
Term
Cartesian coordinate plane
Definition
pg. 58
A plane divided into four quadrants by the intersection of the x-axis and the y-axis at the origin
Term
quadrants
Definition
the four areas of a Cartesian coordinate plane
Term
relation
Definition
a set of ordered pairs
Term
domain
Definition
The set of all x-coordinates of the ordered pairs of a relation.
Term
range
Definition
The set of all y-coordinates of a relation.
Term
function
Definition
A relation in which each element of the domain is paired with exactly one element in the range.
Term
mapping
Definition
How each member of the domain is paired with each member of the range.
Term
one-to-one function
Definition
1. A function where each element of the range is paired with exactly one element of the domain. 2. A function whose inverse is a function.
Term
discrete relation
Definition
A relation in which the domain is a set of individual points
p. 59
Term
continuous relation
Definition
A relation that can be graphed with a line or smooth curve
p. 59
Term
vertical line test
Definition
If no vertical line intersects a graph in more than one point, then the graph represents a function
p. 59
Term
independent variable
Definition
In a function, the variable, ususally x, whose values make up the domain.
p. 61
Term
dependent variable
Definition
The other variable in a function, usually y, whose values depend on x.
p. 61
Term
function notation
Definition
An equation of y in terms of x can be rewritten so the y = f(x). For example, y = 2x + 1 can be written as f(x) = 2x + 1
p. 61
Term
linear equation
Definition
An equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant.
p. 66
Term
standard form
Definition
A linear equation written in the form Ax + By = C, where A, B, and C are integers whose greatest common factor is 1, A if greater than or equal to ), and A and B are not both zero
p. 67
Term
y-intercept
Definition
The y-coordinate of the point at which a graph crosses the y-axis
p. 68
Term
x-intercept
Definition
The x-coordinate of the point at which a graph crosses the x-axis
p. 68
Term
rate of change
Definition
How much a quantity changes on average, relative to the change in another quantity, often time.
p. 71
Term
slope
Definition
The ratio of the change in y-coordinates to the change in x-coordinates
p. 71
Term
slope-intercept form
Definition
The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept
p. 79
Term
point-slope form
Definition
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.
p. 80
Term
bivariate data
Definition
Data with two variables
p. 86
Term
scatter plot
Definition
A set of data graphed as ordered pairs in a coordinate plane.
p. 86
Term
line of fit
Definition
A line that closely approximates a set of data.
p. 86
Term
prediction equation
Definition
An equation suggested by the points of a scatter plot that is used to predict other points.
p. 86
Term
regression line
Definition
A line of best fit
p. 92
Term
line of best fit
Definition
A line that best matches a set of data
p. 92
Term
linear correlation coefficient
Definition
A value that shows how close data points are to a line
p. 92
Term
step function
Definition
A function whose graph is a series of line segments
p. 95
Term
greatest integer function
Definition
A step function, written as f(x) = [[x]], where f(x) is the greatest integer less than or equal to x
p. 95
Term
constant function
Definition
A linear function of the form f(x) = b.
p. 96
Term
absolute value function
Definition
A function written as f(x) = [x], where f(x) is greater than or equal to 0 for all values of x
p. 96
Term
identity function
Definition
The function 1(x) = x
p. 96
Term
piecewise function
Definition
A function that is written using two or more expressions
p. 97
Term
boundary
Definition
A line or curve that separates the coordinate plane into two regions
p. 102
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