•  

    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

     



     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     

     


     

     

    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 functionfhas an inverse
      that is a functionf-1,
      if there is no horizontal line that intersects the graph of the functionfat 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
      
      
       
       
       
       
       
       
       
       
       
       
       
       
      
      
      
     
      
     
    , wherep
      andqare polynomial functions andq(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= bijfori= 1, 2, ….mandj= 1, 2, …n


     

     

    24


     

     

    8.3


     

     

    Matrix Multiplication


     

     

    The product of anmxnmatrix, A, andnxpmatrix, B, is anmxp,AB, whose elements are found as follows. The element in theith row andjth column
      of AB is found by multiplying each element in theith row ofAby the
      corresponding element in thejth
      column ofBand adding the products


     

     

    25


     

     

    8.4


     

     

    Multiplicative identity matrix
      of order n


     

     

    Thenxnsquare 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 bya1,
      a2, a3, a4,…. an


     

     

    29


     

     

    10.1


     

     

    Finite Sequence


     

     

    Sequences whose domains consist only of the firstnpositive integers


     

     

    30


     

     

    10.1


     

     

    Factorial Notation


     

     

    Products of consecutive positive integers expressed in special
      notationn! The product of all positive integers fromndown 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


     






     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     
     


     
     
     


     

     


     

     

    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 functionfhas an inverse
      that is a functionf-1,
      if there is no horizontal line that intersects the graph of the functionfat 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
      
      
       
       
       
       
       
       
       
       
       
       
       
       
      
      
      
     
      
     
    , wherep
      andqare polynomial functions andq(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= bijfori= 1, 2, ….mandj= 1, 2, …n


     

     

    24


     

     

    8.3


     

     

    Matrix Multiplication


     

     

    The product of anmxnmatrix, A, andnxpmatrix, B, is anmxp,AB, whose elements are found as follows. The element in theith row andjth column
      of AB is found by multiplying each element in theith row ofAby the
      corresponding element in thejth
      column ofBand adding the products


     

     

    25


     

     

    8.4


     

     

    Multiplicative identity matrix
      of order n


     

     

    Thenxnsquare 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 bya1,
      a2, a3, a4,…. an


     

     

    29


     

     

    10.1


     

     

    Finite Sequence


     

     

    Sequences whose domains consist only of the firstnpositive integers


     

     

    30


     

     

    10.1


     

     

    Factorial Notation


     

     

    Products of consecutive positive integers expressed in special
      notationn! The product of all positive integers fromndown 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