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    SECTION

    WORD

    DEFINITION

    1

    1.1

    Cartesian Coordinate System

    A coordinate system in which the coordinates of a point are its distances from a set of perpendicular lines that intersect at an origin, such as two lines in a plane; or called the rectangular coordinate system

    2

    1.2

    Relation

    Any set of ordered pairs

    3

    1.2

    Domain

    The set of all first components of the ordered pairs

    4

    1.2

    Range

    The set of all second components of the ordered pairs

    5

    1.2

    Function

    A relation in which no two ordered pairs have the same first component and different second components

    6

    1.2

    Vertical line test for function

    If any vertical line intersects a graph in more than one point, the graph does not define y as a function of x

    7

    1.3

    Relative Maximum

    The points at which a function changes from increasing to decreasing

    8

    1.3

    Relative Minimum

    The points at which a function changes from decreasing to increasing

    9

    1.8

    Horizontal Line Test for Inverse Functions

    A function f has an inverse that is a function f-1, if there is no horizontal line that intersects the graph of the function f at more than one point

    10

    1.10

    Quadratic Function

    Any function in the form of f(x) = ax2 +bx +c  where a≠ 0

    11

    2.2

    Parabola

    The graph of any quadratic function

    12

    2.3

    Polynomial Functions

    Have a degree 2 or higher have graphs that are smooth and continuous curves

    13

    2.6

    Rational Functions

    Quotients of polynomial functions expressed as , where p and q are polynomial functions and q(x)≠0

    14

    3.1

    Exponential Functions

    Functions whose equations contain a variable in the exponent

    15

    3.4

    Exponential Equation

    An equation containing a variable in an exponent

    16

    7.1

    Inconsistent System

    A linear system of equations with no solutions

    17

    7.1

    Consistent System

    A linear system of equations with at least one solution

    18

    7.1

    Dependent

    A linear system of equations with infinitely many solutions

    19

    8.1

    Matrix (plural: Matrices)

    Arranging numbers in rows and column and placed in brackets

    20

    8.1

    Elements

    The numbers inside the brackets of the matrix

    21

    8.1

    Augmented matrix

    A vertical bar separating the columns of the matrix into two groups; The coefficients of each variable are placed to the left of the vertical line and the constants are placed to the right

    22

    8.1

    Gaussian Elimination

    The process used to solve linear systems using matrix row operations after the German mathematician

    23

    8.3

    Equality of Matrices

    Two matrices A and B are equal if and only if they have the same order m x n and aij = bij for i = 1, 2, ….m and j = 1, 2, …n

    24

    8.3

    Matrix Multiplication

    The product of an m x n matrix, A, and n x p matrix, B, is an m x p, AB, whose elements are found as follows.  The element in the ith row and jth column of AB is found by multiplying each element in the ith row of A by the corresponding element in the jth column of B and adding the products

    25

    8.4

    Multiplicative identity matrix of order n

    The n x n square matrix with Is down the main diagonal from upper left to lower right and 0s elsewhere

    26

    8.5

    Determinant

    Associated with every square matrix is a real number

    27

    8.5

    Cramer’s Rule

    The method of using determinants to solve the linear system

    28

    10.1

    Infinite Sequence

    A function whose domain is the set of positive integers.  The function values or terms of the sequence are represented by a1, a2 , a3, a4,…. an

    29

    10.1

    Finite Sequence

    Sequences whose domains consist only of  the first n positive integers

    30

    10.1

    Factorial Notation

    Products of consecutive positive integers expressed in special notation n!  The product of all positive integers from n down through 1

    31

    10.2

    Arithmetic Sequence

    A sequence in which each term after the first differs from the preceding term by a constant amount

    32

    10.2

    Common Difference

    The difference between  consecutive terms of the sequence

    33

    10.3

    Geometric Sequence

    A sequence in which each term after the first is obtained by multiplying the preceding term by a fixed nonzero constant.

    34

    10.3

    Common Ratio

    The amount by which we multiply each time of the sequence

    35

    10.3

    Annuity

    A sequence of equal payments made at equal time periods.  An IRA is an example of an annuity fff