<p>College Algebra Semester Exam Review - Baggett (Spring2014)</p><p>Your exam is Tuesday, May 27, 2014 at 8:30 a.m. in room D-1. Please bring two sharpened pencils. This will be a NO calculator exam. </p><p>You should go through all old quizzes and old tests. Study by doing problems!!!</p><p>Please be able to do the following:</p><p>Section 3.3 Analyzing Graphs of Quadratic Equations </p><p>1. Find the vertex, the axis of symmetry, and the maximum or minimum value of a quadratic function </p><p>2. Graph quadratic functions</p><p>3. Solve applied problems involving maximum and minimum function values</p><p>Section 3.4 Solving Rational Equations and Radical Equations </p><p>1. Solving rational equations</p><p>2. Solve radical equations</p><p>Section 3.5 Solving Equations and Inequalities with Absolute Value </p><p>1. Solving equations and inequalities with absolute value</p><p>CHAPTER 3 assessments:</p><p>Hw quiz 3.3A&B; HW quiz 3.4 a, b, c, & d; </p><p>HW Quiz 3.5 a&b; Test 3.3-3.5</p><p>4.1 Polynomial Functions and Modeling</p><p>1. Determine the behavior of the graph of a polynomial function using the leading-term test</p><p>2. Factor polynomial functions and find their zeros and their multiplicities</p><p>HW quiz 4.1a & b </p><p>4.2 Graphing Polynomial Functions</p><p>1. Graph Polynomial Functions 2. Use the Intermediate Value Theorem to determine whether a function has a real zero between two given real numbers</p><p>Quiz 4.1</p><p>4.3 Polynomial Division; The Remainder and Factor Theorems</p><p>1. Perform long division with polynomials to determine whether one polynomial is a factor of another</p><p>2. Use synthetic division to divide by </p><p>3. Use the remainder theorem to find the value </p><p>4. Use the factor theorem to determine is a factor of </p><p>HW Quiz 4.3 A&B</p><p>Section 4.4 Theorems about Zeros of Polynomial Functions</p><p>1. Find a polynomial with specified zeros</p><p>2. For a polynomial function with integer coefficients, find the rational zeros</p><p>3. Using Descartes’’ rule of signs to find information about the number of real zeros of a polynomial function with real coefficients</p><p>HW quiz 4.3 & 4.4; HW quiz 4.4 & 4.4B, Test 4.1-4.4</p><p>Section 4.5 Rational Functions</p><p>1. For a rational function, find the domain and graph the function, identifying all asymptotes</p><p>2. Solve applied problems using rational functions</p><p>HW Quiz 4.5a & b; Quiz Rational functions, Quiz – Applications of rational functions</p><p>Section 4.6 Polynomial and rational inequalities</p><p>1. Solve polynomial and rational inequalities</p><p>HW Quiz 4.6 a&b; Quiz 4.6 Section 5.1 Inverse functions</p><p>1. Determining whether a function is one-to-one, and if it is, find the formula for its inverse</p><p>2. Simplify compositions of functions and their inverses</p><p>HW Quiz 5.1</p><p>Section 5.2 Exponential Functions and Graphs</p><p>1. Graph exponential functions</p><p>2. Solve applied problems involving exponential functions and their graphs</p><p>HW QUIZ 5.2A</p><p>Test 4.5,4.6, 5.1,5.2</p><p>Section 5.3 Logarithmic Functions and Graphs</p><p>1. Find common logarithms and natural logarithms with or without a calculator</p><p>2. Convert between exponential and logarithmic equations </p><p>3. Change logarithm bases</p><p>4. Graph logarithmic functions</p><p>5. Solve applied problems (none on exam)</p><p>HW quiz graphs</p><p>Section 5.4 Properties of Logarithmic Functions</p><p>1. Convert from logarithms of products, powers, and quotients to expressions in terms of individual logarithms and conversely</p><p>HW quiz 5.4 </p><p>Section 5.5 Solving Exponential and Logarithmic Equations</p><p>1. Solve exponential equations</p><p>2. Solve logarithmic equations HW Quiz 5.5a; Test 5.2-5.5</p><p>Section 7.1 The Parabola</p><p>1. Given an equation of a parabola, find the vertex, the focus, and the directrix, and then graph the parabola</p><p>HW Quiz7.1a</p><p>Section 7.2 The Circle and the Ellipse</p><p>1. Given and equation of an ellipse, find the center, the vertices, and the foci and graph the ellipse </p><p>Quiz Parabola/Ellipse</p><p>Section 7.3 The Hyperbola</p><p>1. Given the equation of a hyperbola, find the center, the vertices, and the foci and graph the hyperbola</p><p>HW quiz 7.3; Test - Parabola/Ellipse/Hyperbola (7.1-7.3)</p><p>The exam will be all multiple choices. Know how to graph the functions and conics discussed above.</p><p>Review sheets or practice problems were given for some tests – these should be used to help you study for your final. Also, several worksheets were given throughout the semester. You should review these. </p><p>Be sure to see me for correct answers for old tests, quizzes, and worksheets – I will have the binders with answer keys available. This will make your studying time much more productive.</p><p>You may bring 1 – 3x5 index card for formulas, examples, etc.</p>