| Chapter | Title | Brief Description | | :--- | :--- | :--- | | | Sequence and Series | Understanding arithmetic and geometric sequences, and calculating their sums. | | 2 | Transformations | Learning how functions can be shifted, stretched, reflected, and combined. | | 3 | Polynomials | Analyzing the graphs of polynomial functions and solving polynomial equations. | | 4 | Radicals and Rational Functions | Working with radical expressions and analyzing the graphs of rational functions. | | 5 | Logarithms | Using the laws of logarithms to solve exponential and logarithmic equations. | | 6 | Trigonometry, Part I | Exploring the unit circle, trigonometric functions and their graphs. | | 7 | Trigonometry, Part II | Proving and applying trigonometric identities and solving equations. | | 8 | Conics (Enriched Option) | An optional section on the properties of conic sections like parabolas and ellipses. |
Describe the transformations required to turn the graph of Solution Strategy: Factor the input: Always isolate the variable inside the function argument.
: Detailed study of horizontal and vertical translations, stretches, reflections, and inverse functions. Polynomial & Rational Functions theory and problems for precalculus 12 pdf
Solving complex exponential equations where bases cannot be easily matched using logarithms. 5. Trigonometry (Functions, Equations, and Identities)
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While the Mickelson workbook is for specific high school curricula, you might also encounter another popular resource: , by Fred Safier.
In summary, if you need a PDF of this workbook, . For an even deeper problem-solving resource, Schaum's Outline of Precalculus is a powerful option. Always prioritize legitimate, legal sources to support the authors and publishers who create these essential educational tools. | | 4 | Radicals and Rational Functions
Thanks in advance for any helpful pointers!
Below is a concise, structured write-up you can copy into a document and save/export as PDF. It's organized so each section includes theory, worked examples, and a set of practice problems (with answers at the end).
: Covering division of polynomials, the Remainder and Factor Theorems, and graphing radical functions. Logarithms & Exponents
Extending trigonometry to the unit circle, graphing sine/cosine functions with transformations, and solving trigonometric equations.