In an ordered pair (x,y), x and y are called the COMPONENTS of the ordered pair.
An x-axis and y-axis at right angles to each other form a COORDINATE SYSTEM.
The numbers in an ordered pair are called the COORDINATES of the corresponding point.
DEDUCTIVE REASONING allows us to formulate rules, principles, or algorithms as the logical consequence of general principles.
The DOMAIN of a relation is the set of all the first components of its ordered pairs. If the components of the pairs are the inputs and outputs of a function, the domain is the set of possible inputs to the function.
An EXPRESSOR is a graphical representation of an operation, such as addition or multiplication. Quantities go into the top of the expressor, and their sums (products, etc.) come out the bottom.
A FUNCTION is a set of ordered pairs in which each first component corresponds to exactly one second component. Informally, a function is a rule or formula allowing us to calculate just one output for each valid input.
A FUNCTION MACHINE is a graphical representation of a function. "Inputs" go into the top of the function machine, and "outputs" come out the bottom.
The GRAPH of an equation is the set of points that correspond to all ordered pairs that satisfy the equation.
INDUCTIVE REASONING allows us to formulate rules, principles, or algorithms based on the observation of many particular cases.
An equation that can be written in the form Ax + By = C is a LINEAR EQUATION in two variables.
An inequality that can be written in the form Ax + By < C, or Ax + By > C, is a LINEAR INEQUALITY in two variables. The symbols ▓ and │ may also occur.
A LINEAR MODEL represents the relationship between two quantities in the real world as a linear equation in two variables. The solutions to the equation should represent pairs of values which can actually be observed.
A pair of numbers, written between parentheses, in which the order is important is called an ORDERED PAIR.
The point at which the x-axis and the y-axis intersect is called the ORIGIN.
Two lines in a plane that never intersect are PARALLEL.
PERPENDICULAR lines intersect at a 90í angle.
To PLOT an ordered pair is to find the corresponding point on a coordinate system.
A POINT is an infinitely small "dot," or exact location, on a coordinate system. Sometimes the coordinates of a point are also referred to as the point itself.
A coordinate system divides the plane into four regions called QUADRANTS.
The RANGE of a relation is the set of all the second components of its ordered pairs. If the components of the pairs are the inputs and outputs of a function, the range is the set of possible outputs of the function.
A RELATION is a set of ordered pairs.
The SLOPE of a line is the ratio of the change in y compared to the change in x when moving along the line. The slope is the "steepness number" of the line. Read slopes from right to left.
A TABLE showing ordered pairs of numbers is called a table of values. Tables are ordinarily prepared in the process of plotting points on a coordinate system.
If a graph crosses the x-axis at k, then the X-INTERCEPT is (k,0).
If a graph crosses the y-axis at k, then the Y-INTERCEPT is (0,k).