Precalculus with Trigonometry
MTH 167-002N
Annandale Campus
Northern Virginia Community College
Dr. Don Goral
Homework for the semester
1.1 Sets of Real Numbers and the Cartesian Coordinate Plane
1.1.4 Exercises
page 14: 1, 3, 5, 11, 17, 23, 31
1.2.2 Exercises
page
29: 1, 3, 7, 18, 21, 22, 27, 37, 41, 50
1.3 Introduction to Functions
1.3.1 Exercises
page 43: 1, 2, 6, 14, 16, 39, 46
1.4 Function Notation
1.4.2 Exercises
page 63: 1, 4, 15, 19, 31, 35, 37, 39, 67
1.5 Function Arithmetic
1.5.1 Exercises
page 84: 1, 11, 17, 21,23,25, 46, 57
1.6 Graphs of Functions
1.6.2 Exercises
page 107: 1, 7, 9, 14, 21, 24, 32, 75
1.7 Transformations
1.7.1 Exercises
page 140: 1,4, 19, 24, 48, 56
2 Linear and Quadratic Functions
2.1 Linear Functions
2.1.1 Exercises
page 163: 5, 7, 15, 18, 26, 28, 32, 35, 45
2.2 Absolute Value Functions
2.2.1 Exercises
page 183: 1, 2, 15, 17, 22, 29
2.3 Quadratic Functions
2.3.1 Exercises
page 200: 1, 4, 11, 21, 26
2.4 Inequalities with Absolute Value and Quadratic Functions
2.4.1 Exercises
page 220: 1, 8, 17, 34, 36
3 Polynomial
Functions
3.1 Graphs of Polynomials
3.1.1 Exercises
page 246: 3, 7, 13, 21, 27
3.2 The Factor Theorem and the Remainder Theorem
3.2.1 Exercises
page 265: 1, 3, 9, 21, 35, 42
3.3 Real Zeros of Polynomials
3.3.3: Exercises
page 280: 1, 31, 37, 48
3.4 Complex Zeros and the Fundamental Theorem of Algebra
3.4.1 Exercises
page 295: 1, 11, 13, 23, 27, 50
4 Rational Functions
4.1 Introduction to Rational Functions
4.1.1 Exercises
page 314: 1, 3, 12, 19
4.2 Graphs of Rational Functions
4.2.1 Exercises
page 333: 5, 14
4.3 Rational Inequalities and Applications
4.3.2 Exercises
page 353: 2, 5, 13, 23, 25, 38
5 Further Topics in Functions
5.1 Function Composition
5.1.1 Exercises
page 369: 1, 9, 13, 17, 22, 31, 39, 62
5.2 Inverse Functions
5.2.1 Exercises
page 391: 1, 5, 11, 17, 23
6 Exponential and Logarithmic Functions
6.1 Introduction to Exponential and Logarithmic Functions
6.1.1 Exercises
page 429: 1, 5, 16, 26, 45, 56, 71, 75
6.2 Properties of Logarithms
6.2.1 Exercises
page 445: 1, 5, 10, 16, 23, 30, 42
6.3 Exponential Equations and Inequalities
6.3.1 Exercises
page 456: 1, 11, 19, 36, 40, 44
6.4 Logarithmic Equations and Inequalities
6.4.1 Exercises
page 466: 3, 9, 22, 26, 33
6.5 Applications of Exponential and Logarithmic Functions
6.5.3 Exercises
page 482: 1, 14, 23, 27
7 Hooked on Conics
7.1 Introduction to Conics
7.2 Circles
7.2.1
Exercises
page 514 (502): 1, 8, 13
__________________________
7.3 Parabolas
7.3.1 Exercises
page 512: 1, 4, 11, 19
7.4 Ellipses
7.4.1 Exercises
page 525: 2, 6, 9, 16
7.5 Hyperbolas
7.5.1 Exercises
page 541: 3, 10, 14
10
Foundations of Trigonometry
10.1 Angles and their Measure
10.1.2 Exercises
page 709: 9, 15, 17, 30, 35, 39, 41, 50
10.2 The Unit Circle: Cosine and Sine
10.2.2 Exercises
page 736: 2, 7, 15, 21, 28, 31, 49, 50, 55
10.3 The Six Circular Functions and Fundamental Identities
10.3.2 Exercises
page 759: 1, 7, 11, 21, 35, 59, 79, 86, 91, 129
10.4 Trigonometric Identities
10.4.1 Exercises
page 782: 3, 14, 22a, 32, 43, 49
10.5 Graphs of the Trigonometric Functions
10.5.4 Exercises
page 809: 2, 8, 13, 25
10.6 The Inverse Trigonometric Functions
10.6.5 Exercises
page 841: 1, 16, 25, 41, 57, 66, 89, 185, 216
10.7 Trigonometric Equations and Inequalities
10.7.1 Exercises
page 874: 1, 8, 26, 39, 62, 69, 73
11 Applications of Trigonometry
11.1 Applications of Sinusoids
11.1.2 Exercises
page 891:1, 2, 3
11.2 The Law of Sines
11.2.1 Exercises
page 904: 1, 3, 25, 26
11.3 The Law of Cosines
11.3.1 Exercises
page 916: 1, 7, 11, 19
11.4 Polar Coordinates
11.4.1 Exercises
page 930: 2, 11, 17, 19, 22, 37, 57, 64, 72, 85
11.5 Graphs of Polar Equations
11.5.1 Exercises
page 958: 1, 3, 9, 21, 32
11.8 Vectors
11.8.1 Exercises
page 1027: 1, 11, 29, 33, 53
11.9 The Dot Product and Projection
11.9.1 Exercises
page
1045: 1, 21
9 Sequences and the Binomial Theorem (optional)
9.1 Sequences
9.1.1 Exercises
page 658: 5, 13, 14, 16, 22
9.2 Summation Notation
9.2.1 Exercises
page 672: 2, 9, 10, 18, 30
page
revised 12/26/22
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