Pre-Calculus

Math 115

The best way to prepare for this exam is to attend class and do the homework assigned by your instructor.  The problems listed below are essentially sample homework assignments that adequately address the topics that will be covered on the final exam. The specific problems you are assigned in class may vary from instructor to instructor, so the following should be considered only as a guide. It does, however, give you a sense of what sorts of problems we expect you to be able to master.

Suggested Problems

Chapter 1

• 1.2  - The Real Line  1-33 odd, 39, 51, 53, 55, 65
• 1.3 -  The Coordinate Plane   3-15 odd, 23, 25, 31, 35, 39, 43, 55
• 1.4 - Equations and Graphs 1-13 odd, 19, 39-42
• 1.6 - Functions  1, 4, 6, 7-14, 18, 21, 28, 30, 37, 40, 51-54, 57, 63, 66, 70, 72
• 1.7 - Linear Functions   5, 14, 18, 19, 24, 29, 35, 40, 42
• 1.8 - Quadratic functions   2, 3, 5, 14, 21, 24, 29, 30, 32, 36, 38, 41, 44

Chapter 2

• 2.2 - Other Common Functions  4, 7, 12, 15, 18, 22, 23, 29, 33, 38
• 2.3 - Arithmetic Combinations of Functions  2, 3, 5, 7, 10, 13, 17, 20, 23, 24
• 2.4 - Composition of Functions  2, 7, 11, 14, 16, 21, 23, 29, 31, 34, 36, 38
• 2.5 - Inverse Functions  1-6, 8, 13, 15-18, 20, 23, 25, 28, 33, 36, 37             

Chapter 3

• 3.2 - Polynomial Functions  1, 11, 13,  16, 18, 20, 22, 24, 25, 32, 35, 41, 47, 48
• 3.3 - Finding Factors and Zeros of Polynomials  1, 3, 5, 7, 10, 14, 15, 17, 20, 22, 23, 26, 33, 38
• 3.4 - Rational Functions   1, 4, 7, 11, 15, 19, 23, 31-33, 41, 47, 48
• 3.5 - Other Algebraic Functions 1-4, 11, 13, 19, 27

Chapter 4

• 4.2 - Measuring Angles  1-33 odd, 36, 39
• 4.3 - The Sine and Cosine Functions  1-37 odd, 39, 41, 47, 49, 52
• 4.4 - Graphs of the Sine and Cosine Functions  1-23 odd, 25, 35, 41
• 4.5 - Other Trigonometric Functions  1-27 odd, 29, 33, 43
• 4.6 - Trigonometric Identities  1-15 odd, 17, 21, 23, 33, 37, 41
• 4.7 - Right-Triangle Trigonometry   1-11, 13, 17, 21, 25
• 4.8 - Inverse Trigonometric Functions1-33 odd, 45
• 4.9 - Applications of Trigonometric Functions 1, 3, 5, 7, 11, 14, 19, 21

Chapter 5

• 5.2 - The Natural Exponential Function 1, 3, 7, 11, 15, 19
• 5.3 - Logarithm Functions  1, 5, 11, 17, 23, 27-31 odd, 33-53 odd, 56, 65
• 5.4 - Exponential Growth and Decay  1, 2, 3, 7, 12, 17

Chapter 6

• 6.2 - Parabolas  1-9 odd, 16, 17, 19, 25, 31, 37
• 6.3 - Ellipses  1-13 odd, 17, 20, 31, 24, 25, 29
• 6.4 - Hyperbolas 1-25 odd, 28, 29

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