Final Exam Topic List

This topics below are where I could pull questions from the final. To save you some time, here’s a PDF with all the Topic Reviews.

Also, you get a cheat sheet and there is no calculator.

• 1-5 Solving Equations and Inequalities By Graphing
• 1-6 Linear Systems
• 2-3 Factored Form of a Quadratic Function
• 2-4 Complex Numbers and Operations
• 2-5 Completing the Square
• 3-2 Adding, Subtracting, and Multiplying Polynomials
• 3-4 Dividing Polynomials
• 4-2 Graphing Rational Functions
• 4-4 Adding and Subtracting Rational Expressions
• 4-5 Solving Rational Equations
• 5-2 Properties of Exponents and Radicals
• 5-4 Solving Radical Equations
• 5-5 Function Operations
• 5-6 Inverse Relations and Functions
• 6-3 Logarithms
• 6-5 Properties of Logarithms
• 6-6 Exponential and Logarithmic Equations
• 7-1 Trigonometric Functions and Acute Angles
• 7-2 Angles and the Unit Circle
• 7-3 Trigonometric Functions and Real Numbers
• 8-1 Solving Trigonometric Equations Using Inverses
• 8-3 Trigonometric Identities

Along with that, you should know the general features of the graphs of each function type we’ve covered. Think domain, range, intercepts, asymptotes, positive/negative and increasing/decreasing intervals. You should also know how transformations work.

This info is spread throughout the book, so here’s another list. I am not pulling a question from each section listed. More likely, it will be just two or three questions about graphs and transformations, but I am not telling you ahead of time which functions I’m choosing.

• 1-1 Key Features of Functions
• 1-2 Transformation of Functions
• 3-1 Graphing Polynomial Functions
• 3-7 Transformations of Polynomial Functions
• 4-1 Inverse Variation and the Reciprocal Function
• 4-2 Graphing Rational Functions
• 5-3 Graphing Radical Functions
• 6-1 Key Features of Exponential Functions
• 6-4 Logarithmic Functions
• 7-4 Graphing Sine and Cosine Functions
• 7-6 Translating Trigonometric Functions