# Homework

In case you miss a homework assignment in class, you can find it below. Unless otherwise specified, all problems are from the 9th Edition of Algebra and Trigonometry by Sullivan published by Prentice Hall (Pearson). When I return graded homework, I may post some solutions here too; see the downloading help if you have trouble reading them. See the grading policies for general instructions on doing homework and how it will be graded.

You can always do more homework problems! You may need to practise the material if you want to remember it for the final exam, a subsequent course, or the rest of your life. If you bought MyMathLab access with your course textbook (or separately), then you can find supplementary problems through the Moodle page:

(However, MyMathLab is not required for this section.)

Here is the assigned homework:

1. Review:
• Date assigned: April 2 Thursday.
• Date due: April 7 Tuesday.
• Problems from the Chapter 1 Test (bottom of page 147):
• Show at least one intermediate step: 1–12.
• Show what equation you solve: 13.
• Extra-credit essay question: Explain your background in mathematics and what you are going to use this course for.
2. Graphing points:
• Date assigned: April 7 Tuesday.
• Date due: April 9 Thursday.
• Problems from Section 2.1 (pages 154–157):
• No additional work needed: 2, 3, 4, 13.
• Show what numerical calculation you make or what equation you solve: 17, 19, 21, 29, 35, 37.
• No additional work needed: 43.
• Show what numerical calculation you make or what equation you solve: 59, 67.
3. Graphing equations:
• Date assigned: April 9 Thursday.
• Date due: April 14 Tuesday.
• Problems from Section 2.2 (pages 164–167):
• No additional work needed: 1, 2, 3, 5, 7.
• Show what numerical calculations you make: 11, 15.
• Show your table of values: 21, 27.
• Label which point is which: 29, 32, 33.
• No additional work needed: 39–46, 51–54.
• Show at least one intermediate step for each result: 59, 65, 69.
• Show what equation you solve: 77.
• No additional work needed: 85.
• Section ES36 (evening section) only: Problems from Section 2.3 (pages 178–182):
• No additional work needed: 1, 2, 8, 9.
• Show what numerical calculations you make or what equations you solve: 11, 13, 15, 17.
• No additional work needed: 23, 29.
• Show the slope of each line: 37, 43.
• Show at least one intermediate step for each: 45, 49, 55, 59, 66, 67.
• No additional work needed: 72.
• Show at least one intermediate step: 77.
• No additional work needed, but some of these are trick questions: 83–86.
• Give a reason for each answer: 103, 105.
4. Linear equations:
• Date assigned: April 14 Tuesday.
• Date due: April 16 Thursday.
• Section ES34 (afternoon section) only: Problems from Section 2.3 (pages 178–182):
• No additional work needed: 1, 2, 8, 9.
• Show what numerical calculations you make or what equations you solve: 11, 13, 15, 17.
• No additional work needed: 23, 29.
• Show the slope of each line: 37, 43.
• Show at least one intermediate step for each: 45, 49, 55, 59, 66, 67.
• No additional work needed: 72.
• Show at least one intermediate step: 77.
• No additional work needed, but some of these are trick questions: 83–86.
• Give a reason for each answer: 103, 105.
• Section ES36 (evening section) only: Problems from Section 12.1 (pages 854–858):
• No additional work needed: 1, 3, 5.
• Show what numerical calculations you make: 9.
• Show enough work that I can tell which method you used: 17, 19, 25, 29, 43, 45.
• Show what equation or equations you solve: 61, 67, 69.
• No additional work needed: 84.
5. Functions:
• Date assigned: April 16 Thursday.
• Date due: April 21 Tuesday.
• Section ES34 (afternoon section) only: Problems from Section 12.1 (pages 854–858):
• No additional work needed: 1, 3, 5.
• Show what numerical calculations you make: 9.
• Show enough work that I can tell which method you used: 17, 19, 25, 29, 43, 45.
• Show what equation or equations you solve: 61, 67, 69.
• No additional work needed: 84.
• From §3.1 (pages 210–213):
• No additional work needed: 1, 3, 4, 7, 31, 36.
• Show what calculation you make for each part: 39, 45.
• Show what equations or inequalities you solve, if any: 47, 49, 51, 55, 57.
• Show what calculation you make for each part: 63, 71.
• Show what calculation you make or what equation you solve: 73, 85.
6. Graphing functions:
• Date assigned: April 21 Tuesday.
• Date due: April 23 Thursday.
• From §3.2 (pages 218–222):
• No additional work needed: 3, 4, 5, 9, 10, 12–15.
• Show what calculation you make or what equation you solve for each part: 23, 25.
• No additional work needed: 37, 39, 40.
7. Properties of functions:
• Date assigned: April 23 Thursday.
• Date due: April 28 Tuesday.
• Problems from Section 3.3 (pages 230–234):
• No additional work needed: 2, 3, 5, 6, 7, 11–20, 21–31 odd.
• Show what calculations you make or what equations you check: 33, 35, 39, 43.
• No additional work needed: 45–48.
• Show what calculations you make or what equations you solve: 61, 63, 67.
8. Word problems:
• Date assigned: April 28 Tuesday.
• Date due: April 30 Thursday.
• Problems from Section 3.6 (pages 260–263):
• Show at least one intermediate step for each part (except for 13.a): 1.a–c, 3.a, 5, 11.a&b, 13, 15, 19.a, 22.a–c, 24.
• Optional (using a graphing calculator): 1.d&e, 3.b&c, 11.c, 19.b, 22.d&e.
• Problems from Section 4.1 (pages 278–281):
• No additional work needed: 1, 2, 4, 8, 9, 13, 18, 19.
• Show what calculations you make to check: 21–27 odd.
• No additional work needed: 33, 34.
• Show what equations you solve or what numerical calculations you make: 37, 47, 49.
9. Examples of functions:
• Date assigned: April 30 Thursday.
• Date due: May 5 Tuesday.
• Problems from Section 3.4 (pages 241–244):
• No additional work needed: 1, 2, 4, 9–24.
• Show what numerical calculations you make: 25, 27.
• Show at least what equations you solve for part B: 29, 31, 33.
• No additional work needed: 41, 43.
• Show what numerical calculation you make: 47.
• Optional (using a graphing calculator, or by hand using at least x = −2, −1, −1/2, 0, 1/2, 1, 2): 66, 67.
10. Composing functions:
• Date assigned: May 5 Tuesday.
• Date due: May 7 Thursday.
• Problems from Section 6.1 (pages 406–408):
• No additional work needed: 1, 2, 3.
• Show one intermediate step for each part: 9, 11, 15, 19.
• Show what equations or inequalities you solve: 21, 23.
• Show what equations or inequalities you solve, if any, for each domain and show one other intermediate step for each part: 31, 33, 35, 39.
• Show what equation you solve: 61, 62.
• Show at least one intermediate step: 65, 67.
• Problems from Section 6.2 (pages 417–421):
• No additional work needed: 3, 4, 6, 7, 9, 19–24.
• Show at least one intermediate step in each direction: 35, 37, 41.
• No additional work needed: 43–48.
• The graphs are optional, but show what equation you solve: 51, 53, 55, 61, 63, 65, 67.
• No additional work needed: 73–80.
11. Coordinate transformations:
• Date assigned: May 7 Thursday.
• Date due: May 12 Tuesday.
• Problems from Section 3.5 (pages 253–257):
• No additional work needed: 1, 2, 3, 7–26.
• Show both intermediate formulas: 27, 28.
• No additional work needed: 31–36.
• Show all stages: 39, 43, 45, 47, 49, 55.
• No additional work needed: 63, 64, 86, 87.
• Date assigned: May 12 Tuesday.
• Date due: May 14 Thursday.
• Problems from Section 4.3 (pages 297–299):
• No additional work needed: 1–4, 7, 11–18.
• Show the intermediate steps in the graph by transformations: 19, 21.
• Show the form f(x) = a(x − h)2 + k, and show the intermediate steps in the graph by transformations: 23, 25.
• State the vertex and intercepts, and show what numerical calculations you make or what equations you solve to find them: 31, 37, 41, 43.
• Show at least one intermediate step: 49, 51.
• Show what numerical calculations you make: 55, 57.
• No additional work needed: 89.
• Problems from Section 4.4 (pages 305–309):
• No additional work needed: 1.
• Show what numerical calculations you make or what equations or inequalities you solve: 3–9 odd, 11.a–c, 13, 15, 17;
• No additional work needed: 31.
13. Exponential and logarithmic functions:
• Date assigned: May 14 Thursday.
• Date due: May 19 Tuesday.
• Problems from Section 6.3 (pages 432–437):
• No additional work needed: 1, 7, 12, 13.
• Optional, using a calculator: 15.
• Show what calculations you make to check: 25–31 odd.
• No additional work needed: 33–40.
• Show the graph before transforming as well: 41, 43, 47, 49, 53, 55, 57.
• No additional work needed: 61.
• Show at least one intermediate step for each: 63, 67, 69, 71, 73, 75, 79, 81.
• No additional work needed: 85, 87.
• Problems from Section 6.4 (pages 446–450):
• No additional work needed: 1.a, 4, 6, 9–24.
• Show at least one intermediate step: 25–35 odd.
• Show what equations or inequalities you solve: 37, 41.
• Optional, using a calculator: 49.
• No additional work needed: 63–70.
• Show what equations or inequalities you solve: 71, 77, 81, 83.
• Show at least one intermediate step for each: 87–109 odd.
• Show what numerical calculations you make: 117, 127–130.
14. Properties of logarithms:
• Date assigned: May 19 Tuesday.
• Date due: May 21 Thursday.
• Problems from Section 6.5 (pages 457&458):
• No additional work needed: 1–9, 13, 15, 17.
• Show at least one intermediate step for each: 19–27 odd, 37.
• No additional work needed: 39.
• Show at least one intermediate step for each: 41–55 odd.
• Show at least one intermediate step for each: 57, 61–69 odd.
• Optional, using a calculator: 71, 77.
• Show an intermediate step for each: 87, 91, 97.
15. Equations involving logarithms:
• Date assigned: May 21 Thursday.
• Date due: May 26 Tuesday.
• Problems from Section 6.6 (pages 463–465):
• No additional work needed: 1, 2.
• Show at least one intermediate step for each: 5–9, 13–25 odd, 31, 35, 39, 41, 45.
• Problems from Section 6.7 (pages 472–475): Show what numerical calculations you make or what equations you solve: 1, 2, 5, 7, 11, 13, 15, 21, 31, 32, 41, 43.
16. Exponential growth and decay:
• Date assigned: May 26 Tuesday.
• Date due: May 28 Thursday.
• Problems from Section 6.8 (pages 484–486): Show what numerical calculations you make or what equations you solve: 1, 3, 5.b&c, 7.b, 9–23 odd.
17. Polynomial functions:
• Date assigned: May 28 Thursday.
• Date due: June 2 Tuesday.
• Problems from Section 5.1 (pages 337–341):
• No additional work needed: 1, 2, 3, 6, 8, 9, 12, 15, 17, 19, 21.
• Show the graph before transforming as well: 27, 29, 33, 35, 37, 38.
• Use 1 as the leading coefficient and show the factored form: 41–47 odd.
• Show what numerical calculations you make for part c, but skip part d: 49, 51, 55, 59.
• No additional work needed: 61, 63, 65.
• Skip Step 4 (turning points), and show what numerical calculations you make for Step 5 (behaviour near x-intercepts): 69, 73, 75, 77, 79, 84, 85.
• Date assigned: June 2 Tuesday.
• Date due: June 4 Thursday.
• Problems from Section 5.5 (pages 385–387):
• No additional work necessary: 1–4, 6, 9.
• Show what numerical calculations you make: 11, 15, 19.
• No additional work necessary: 33, 35, 37, 39, 40.
• Show how you check each potential root/zero: 45, 51, 53.
• Show the polynomial in factored form: 57, 59, 65, 67, 91, 97, 99.
• Show what calculation you make: 103, 117.
• Section ES36 (evening section) only: Problems from Section 5.6 (pages 392&393):
• No additional work needed: 1, 2, 4, 7, 11, 15.
• Use 1 as the leading coefficient, and show the expression before and after expanding: 17, 18, 21.
• Show your factoring or division: 23, 27, 33, 37.
• No additional work needed: 41, 43.
19. Section ES34 (afternoon section) only: Complex numbers:
• Date assigned: June 4 Thursday.
• Date due: June 11 Thursday.
• Problems from Section 5.6 (pages 392&393):
• No additional work needed: 1, 2, 4, 7, 11, 15.
• Use 1 as the leading coefficient, and show the expression before and after expanding: 17, 18, 21.
• Show your factoring or division: 23, 27, 33, 37.
• No additional work needed: 41, 43.
20. Extra credit: Rational functions:
• Date assigned: June 11 Thursday.
• Date due: June 11 Thursday.
• Problems from §5.2 (pages 350–353):
• No additional work needed: 2, 3, 4, 6, 7;
• Show at least one intermediate step: 13–17, 21;
• No additional work necessary: 25, 29;
• Show the graph before transforming as well: 33;
• Show what numerical calculations you make or what equations you solve: 43, 47, 48.
• Problems from §5.3 (pages 365–367):
• No additional work needed: 1, 3, 6;
• Show what numerical calculations you make or what equations you solve: 7–11, 17–23 odd, 31, 33, 35;
• No additional work needed: 45–48.

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