•  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