Term | Definition |
Dependent variable | A variable in a function whose value is dependent upon the value of the independent variable. |
Independent variable | The input variable in a function. Its value determines the value of the dependent variable. |
Function | A special kind of relation in which each value of the input variable is paired with exactly one value of the output variable. A function usually has form of 'f(x) = x'. |
Domain | The set of all possible values of the independent variable. It is also the set of all values a function takes as inputs. The domain is represented by 'x'. |
Range | The set of all possible values of the dependent variable. It is also the set of all values a function returns as outputs. Range can be noted as 'f(x)', or 'y'. |
Interval Notation | A shorthand way of writing intervals using parentheses and brackets. Parentheses signify EXCLUDED value, while Brackets signify INCLUDED value. |
Absolute Value function | f(x) = |x|. The magnitude of x. |
Greatest Integer function | f(x) = x. The greatest integer less than or equal to x. |
Many-to-One | A function where two or more x-values are assigned to one y-value. |
One-to-One | A function where each y-value has one assigned x-value. |
Vertical Line Test | A vertical line drawn through a graph will touch in, at most, one place. Otherwise the test is failed, and the graph is not a function. |
Difference Quotient | A method of finding the slope between two points on a curve. |
Linear function | A function whose graph is a line. |
Slope | A ratio of the increase in y-coordinate of a line to the increase in x-coordinate of that line. |
Arithmetic Sequence | A collection of number separated by commas in which the difference between any two adjacent numbers is constant. |
Explicit Formula | A formula that allows the direct calculation of all terms in a sequence. |
Partial Sum | The sum of the first 'n' terms of a sequence. Denoted by the symbol Sn. |
Recursive Formula | A formula that defines numbers in a sequence in terms of previous numbers in the sequence. |
Sequence | A set of numbers written in a particular order. |
Series | A collection of terms in a sequence that are added together to produce a sum |
Sigma Notation | A shorthand notation using the Greek letter 'sigma' to denote the sum of a series. |
Linear Equation | An equation in which the variable is of degree one. |
Linear Inequality | An inequality in which the variable is of degree one. |
Point-Slope Form | A form of a linear equation that includes the coordinates of a point on the line and the line's slope. y – y1 = m(x – x1); (x1, y1) |
Slope-Intercept Form | A form of a linear equation that includes the slope of the line and the value of the y-intercept. y = mx + b |
Standard Form (of a Linear Equation) | A linear equation written in the form Ax + By + C = 0. |
Undefined | A value that cannot be computed. |
Coincide | To overlap, or in the case of lines, be identical. |
Feasible Region | A region on a graph that includes all possible solutions to a system of inequalities. |
Matrix | A collection of numbers represented in a rectangular format |
Matrix Algebra | A set of rules that describe how to solve complex algebraic problems using matrices. |
Ordered Pair | A combination of x- and y-coordinates that describe a point on a graph. (x, y) |
Parallel Lines | Two lines with equal slopes that never intersect. |
System of Linear Equations | A set of two or more linear equations. |
Commutative Property | Operations may be performed in any order and they will always produce the same result. |
Function Composition | Combining two functions into a single function. |