# How To Understand And Solve Algebraic Equations

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4 7 Analyzing Graphs Piecewise-Defined Graphs and Symmetry Transformations 8 Graphing Polynomial 9 Graphing Rational 10 Exponential and Logarithmic Graphing General Quadratic Graphing Polynomial Applications of Polynomial Asymptotes and Rational Graphing Rational Applications of Rational Exponential Logarithms and Logarithmic The Exponential Function and Natural Logarithm Graph a function and its inverse. Graph factorable quadratic Graph the square root, cubic, and cube root Compute a product or quotient of functions and determine the domain of the result. State the domain of a piecewisedefined Evaluate piecewise-defined Graph functions that are piece-wise defined. Identify different symmetry types. Use symmetry as an aid to graphing. Perform vertical and horizontal shifts of a basic graph. Perform vertical and horizontal reflections of a basic graph. Perform stretches and compressions on a basic graph. Transform the graph of a general Graph quadratic functions by completing the square and using transformations. Graph a general quadratic function using the vertex formula. Solve applications involving quadratic Graph polynomial Describe the end behavior of a polynomial graph. Graph the reciprocal and reciprocal quadratic Identify horizontal and vertical asymptotes. Use asymptotes to graph transformations. Use asymptotes to determine the equation of a rational function from its graph. Find the domain of a rational Find the intercepts of a rational Graph general rational Solve applications involving rational Evaluate an exponential Graph exponential Solve certain exponential Solve applications of exponential Write exponential equations in logarithmic Graph logarithmic functions and find their domains. Solve applications of logarithmic Evaluate and graph base exponential Evaluate and graph the natural logarithm Apply the properties of logarithms.

5 11 Exponential and Logarithmic 12 Systems of Linear in Two Variables 13 Solving Linear Systems Using Augmented Matrices 14 Sequences and Series Sequences and Series Arithmetic Sequences Geometric Sequences 15 Review and Graded Final Exam Use the change-of-base formula. Exponential Write logarithmic and exponential equations in simplified Logarithmic Solve exponential Solve logarithmic Applications of Solve applications involving Exponential and exponential and logarithmic Logarithmic Use exponential equations to find the interest compounded in times per year. Use exponential equations to find the interest compounded continuously. Solve exponential growth and decay problems. Solving Systems Verify ordered pair solutions. Graphically and by Solve linear systems by graphing. Substitution Solve linear systems by substitution. Solving Systems Solve linear systems by elimination. Using Elimination Recognize inconsistent systems (no Applications of Linear solutions) and dependent systems Systems (infinitely many solutions). Use a system of equations to mathematically model and solve applications. Matrices State the size of a matrix and identify Solving Linear entries in a specified row and column. Systems Using Form the augmented matrix of a Matrix system of More Applications of Recognize inconsistent and dependent Linear Systems systems. Model and solve applications using linear systems. Solve a system of equations using row operations. Write out the terms of a sequence given the general term. Determine the general term of a sequence. Find the partial sum of a series. Use summation notation to write and evaluate the series. Solve applications using mathematical sequences. Find the sum of a geometric series. Solve application problems involving geometric sequences and series. Course Review None

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