jiloworx.blogg.se - Pearson mynotes lial

Find the sum of terms in an arithmetic and geometric series.

Find elements of an arithmetic and geometric series.

Evaluate a finite and convergent infinite series.

(Optional) To demonstrate competency in sequences and series, a student should be able to:.

Apply properties of matrices and perform basic operations.

Solve application problems using systems of equations.

Relate solving equations and inequalities to linear programming applications.

Determine the solution of a system of inequalities.

Solve systems of equations using the Cramer's Rule.

Solve linear and non-linear systems of equations using algebraic techniques.

To demonstrate competency in recognizing, solving and applying systems of linear equations using matrices, a student should be able to:.

Solve problems consisting of exponential and logarithmic applications.

Solve exponential and logarithmic equations.

Determine the graph of logarithmic and exponential equations.

Relate logarithmic and exponential functions.

Expand and condense expressions using logarithmic properties.

Evaluate exponential and logarithmic functions.

Identify characteristics and determine the inverse of a function.

To demonstrate competency in recognizing and applying exponential and logarithmic functions, a student should be able to:.

Create a polynomial function given zeros of the function.

Sketch the graph of a rational function.

Determine the asymptotes of a rational function.Use the intermediate value theorem for polynomial functions.

Sketch the graph of a polynomial function.Determine the value of a polynomial function using the remainder theorem.Determine zeros and factors of functions using a variety of algebraic techniques.Use long division and synthetic division algorithms for polynomials.Find and use the vertex of a quadratic function in an application.Identify increasing, decreasing, and constant functions.To demonstrate competency in recognizing and applying polynomial and rational functions, a student should be able to:.Find the composition of functions and determine the effect on domain.Find the sum, difference, product, and quotient of functions.Determine whether a function in even or odd.Identify symmetry of the graph of a function.Graph basic functions using translations.Identify characteristics and evaluate piecewise-defined functions.Find the average rate of change between two values of a function.Determine the intervals for which a function is continuous.Determine the intervals for which a function is increasing, decreasing, or constant.Find the slope of a line and interpret slope as an average rate of change.Graph linear functions using points, intercepts, and slope.Evaluate functions using function notation.Determine the domain and range of a function.Define and identify relations and functions.To demonstrate competency in demonstrating and applying knowledge of properties of functions, including domain and range, operations, compositions, and inverses, a student should be able to:.Solve quadratic and rational inequalities.Add subtract, multiply, divide, and simplify complex numbers.Solve applied problems involving linear and quadratic equations.Use the discriminant to describe solutions to quadratic equations.Solve quadratic equations using factoring, square root property, completing the square, the quadratic formula, and substitution.To demonstrate competency in recognizing and applying linear and quadratic functions, a student should be able to:.(Attendance policy is included in this section). This course includes the study of linear, quadratic, polynomial, logarithmic, and exponential functions and their graphs characteristics of other basic functions, graphing techniques, and operations on functions systems of equations and matrices. Additional topics such as sequences, series, probability, and conics may be included. In-depth study and applications of polynomial, rational, radical, exponential and logarithmic functions, and systems of equations using matrices.