18 terms

Linear Functions and Relations

This is the Vocabulary for our first Unit
Ordered Pair
A pair of numbers that give the location of a point on a x and y grid. for example graph (3, 2)
Cartesian coordinate plane
a coordinate system for which the coordinates of a point are its distances from a set perpendicular lines that intersect at the origin of the system
A section of the Cartesian coordinate plane, their are four of them.
A set of ordered pairs
The independent values of a set. Often the x values
The dependent values of a set. Often the y values
For each input there is one output. For each independent value there is one dependent value. For each x value there is only one y value. NOTE: There can be functions that have the same dependent value for different independent values such as y = 6.
The relationship used to create a set of ordered pairs. Example: twice the independent is the dependent. (1,2) (3,6)...
One-to-One Function
a function where each element of the range is paired with exactly one element of the domain.
Vertical Line Test
A test used to determine whether a relation is a function by checking if a vertical line touches 2 or more points on the graph of a relation
Independent Variable
A variable whose variation does not depend on that of another
Dependent Variable
The outcome factor; the variable that may change in response to manipulations of the independent variable.
Function Notation
A way to name a function that is defined by an equation. In function notation, the equation y = 3x-8 is written as f(x) = 3x-8
Linear Equation
An equation that has no operations other than addition, subtraction, and multiplication of a variable by a constant. The graph is a line.
Linear function
A function in which the graph of the solutions forms a line
Standard Form
Ax + By=C, where A, B, and C are not decimals or fractions, where A and B are not both zero, and where A is not a negative
where the line crosses the y axis (0,b)
where the line crosses the x axis (a,0)