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Study Guide for the Semester 1 Exam- PreCalculus Start Preparing Early: Go back and review your notes from Modules 1 – 5. Go back and review your old exams. Rework problems that you missed and make sure you understand the mistake you made. Each chapter in your book as “Study Aides”. Use these as extra practice. Review the Graded HW from each lesson. Review the Practice Exercises that were assigned in each lesson. Think about EVERYTHING you know about the following topics: 1. Odd Functions, Even Functions 2. Inverses 3. Composition Functions 4. Shifting Functions 5. What are the steps for creating a STAT Plot based on a table of data? 6. What are the steps for finding the linear regression equation using the calculator? 7. Vertical Asymptotes, Horizontal Asymptotes 8. Zero of a function, Root of a function 9. Imaginary Roots 10. Maximum or Minimum of a Function 11. Possible Rational Roots 12. Complex Conjugate 13. Change of Base Formula for Logarithms 14. Properties used to expand or condense logarithmic expressions 15. Solving a logarithmic equation 16. Solving an exponential equation 17. Domain/Range of Logarithmic Functions 18. Domain/Range of Exponential Functions 19. The acronym ASTC 20. The acronym SOH-CAH-TOA 21. Csc(x), cot(x), sec(x) 22. How do you obtain a good graph for y=csc(x) using the graphing calculator? 23. When graphing trig functions, what is amplitude? Period? Horizontal Shift? Vertical Shift? 24. How do you find the vertical asymptotes of a trig function? 25. Given a trig equation, how do you solve it algebraically? how can you solve it graphically? 26. What does it mean to “verify the identity” 27. Explain some of the strategies you can use to simplify trig expressions. 28. Sum and Difference Formulas 29. Reviewing the HW problems in 5.05, what are some of the ways we used the sum/difference formulas in the graded assignment? 30. Pythagorean Identities 31. Inverse Trigonometric Function 32. Review the HW to find out how to find the EXACT value of an inverse trig function. 33. Review the HW to find out how to use the graphing calculator to find the value of an inverse trig function.
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