College Algebra Semester Exam Review - Baggett (Spring2014)

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.

You should go through all old quizzes and old tests. Study by doing problems!!!

Please be able to do the following:

Section 3.3 Analyzing Graphs of Quadratic Equations

1. Find the vertex, the axis of symmetry, and the maximum or minimum value of a quadratic function

2. Graph quadratic functions

3. Solve applied problems involving maximum and minimum function values

Section 3.4 Solving Rational Equations and Radical Equations

1. Solving rational equations

2. Solve radical equations

Section 3.5 Solving Equations and Inequalities with Absolute Value

1. Solving equations and inequalities with absolute value

CHAPTER 3 assessments:

Hw quiz 3.3A&B; HW quiz 3.4 a, b, c, & d;

HW Quiz 3.5 a&b; Test 3.3-3.5

4.1 Polynomial Functions and Modeling

1. Determine the behavior of the graph of a polynomial function using the leading-term test

2. Factor polynomial functions and find their zeros and their multiplicities

HW quiz 4.1a & b

4.2 Graphing Polynomial Functions

1. Graph Polynomial Functions 2. Use the Intermediate Value Theorem to determine whether a function has a real zero between two given real numbers

Quiz 4.1

4.3 Polynomial Division; The Remainder and Factor Theorems

1. Perform long division with polynomials to determine whether one polynomial is a factor of another

2. Use synthetic division to divide by

3. Use the remainder theorem to find the value

4. Use the factor theorem to determine is a factor of

HW Quiz 4.3 A&B

Section 4.4 Theorems about Zeros of Polynomial Functions

1. Find a polynomial with specified zeros

2. For a polynomial function with integer coefficients, find the rational zeros

3. Using Descartes’’ rule of signs to find information about the number of real zeros of a polynomial function with real coefficients

HW quiz 4.3 & 4.4; HW quiz 4.4 & 4.4B, Test 4.1-4.4

Section 4.5 Rational Functions

1. For a rational function, find the domain and graph the function, identifying all asymptotes

2. Solve applied problems using rational functions

HW Quiz 4.5a & b; Quiz Rational functions, Quiz – Applications of rational functions

Section 4.6 Polynomial and rational inequalities

1. Solve polynomial and rational inequalities

HW Quiz 4.6 a&b; Quiz 4.6 Section 5.1 Inverse functions

1. Determining whether a function is one-to-one, and if it is, find the formula for its inverse

2. Simplify compositions of functions and their inverses

HW Quiz 5.1

Section 5.2 Exponential Functions and Graphs

1. Graph exponential functions

2. Solve applied problems involving exponential functions and their graphs

HW QUIZ 5.2A

Test 4.5,4.6, 5.1,5.2

Section 5.3 Logarithmic Functions and Graphs

1. Find common logarithms and natural logarithms with or without a calculator

2. Convert between exponential and logarithmic equations

3. Change logarithm bases

4. Graph logarithmic functions

5. Solve applied problems (none on exam)

HW quiz graphs

Section 5.4 Properties of Logarithmic Functions

1. Convert from logarithms of products, powers, and quotients to expressions in terms of individual logarithms and conversely

HW quiz 5.4

Section 5.5 Solving Exponential and Logarithmic Equations

1. Solve exponential equations

2. Solve logarithmic equations HW Quiz 5.5a; Test 5.2-5.5

Section 7.1 The Parabola

1. Given an equation of a parabola, find the vertex, the focus, and the directrix, and then graph the parabola

HW Quiz7.1a

Section 7.2 The Circle and the Ellipse

1. Given and equation of an ellipse, find the center, the vertices, and the foci and graph the ellipse

Quiz Parabola/Ellipse

Section 7.3 The Hyperbola

1. Given the equation of a hyperbola, find the center, the vertices, and the foci and graph the hyperbola

HW quiz 7.3; Test - Parabola/Ellipse/Hyperbola (7.1-7.3)

The exam will be all multiple choices. Know how to graph the functions and conics discussed above.

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.

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.

You may bring 1 – 3x5 index card for formulas, examples, etc.