Problem sets

You can always do more homework problems! You may need to practise the material if you want to remember it for the quizzes, 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:

• Section LN02 (main campus),
• Section ES35 (downtown campus).

Here are the assigned problems (there may be more than one section assigned or due on a given date):

1. From the Chapter 1 Test (page 147):
   • Date assigned: October 5 or October 6.
   • Date done in class: October 7 or October 6.
   • Date due in final form: October 9 or October 8.
   • Reading: Introduction.
   • 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. Section 2.1 (pages 154–157):
   • Date assigned: October 7 or October 6.
   • Date done in class: October 9 or October 8.
   • Date due in final form: October 11 or October 10.
   • Reading: Pages 150–154;
   • No additional work needed: 2, 3, 4, 8, 15.
   • Show what numerical calculation you make or what equation you solve: 19, 21, 23, 27, 31, 37, 39.
   • No additional work needed: 45.
   • Show what numerical calculation you make or what equation you solve: 63, 71.
3. Section 2.2 (pages 164–167):
   • Date assigned: October 9 or October 8.
   • Date done in class: October 12 or October 13.
   • Date due in final form: October 14 or October 15.
   • Reading: Pages 157–164, online notes.
   • No additional work needed: 1, 2, 3, 5, 7.
   • Show what numerical calculations you make: 13, 17.
   • Show your table of values: 23, 29.
   • Label which point is which: 31, 34, 35.
   • No additional work needed: 41–48, 53–56.
   • Show at least one intermediate step for each result: 61, 67, 71.
   • Show what equation you solve: 77.
   • Extra credit: No additional work needed (but do everything that is asked, which is more than in the answer in the back): 85.
4. Section 2.3 (pages 178–182):
   • Date assigned: October 12 or October 13.
   • Date done in class: October 14 or October 15.
   • Date due in final form: October 16 or October 20.
   • Reading: Pages 167–177, online notes.
   • No additional work needed: 1, 2, 8, 9.
   • Show what numerical calculations you make or what equations you solve: 13–19 odd.
   • No additional work needed: 25, 26, 29–32.
   • Show the slope of each line: 39, 45.
   • Show at least one intermediate step for each (unless the line is vertical): 47, 51, 57, 61, 68, 69.
   • No additional work needed: 74.
   • Show at least one intermediate step: 79.
   • No additional work needed, but some of these are trick questions: 85–88.
   • Give a reason for each answer: 105, 107.
5. Section 12.1 (pages 854–858):
   • Date assigned: October 14 or October 13.
   • Date done in class: October 16 or October 15.
   • Date due in final form: October 19 or October 20.
   • Reading: Pages 844–854.
   • No additional work needed: 1, 3, 5.
   • Show what numerical calculations you make: 11.
   • Show enough work that I can tell which method you used: 19, 21, 27, 31, 45, 47.
   • Show what equation or equations you solve: 65, 73.
   • No additional work needed: 88.
6. Section 3.1 (pages 210–213):
   • Date assigned: October 16 or October 15.
   • Date done in class: October 19 or October 20.
   • Date due in final form: October 21 or October 22.
   • Reading: Page 191 (introduction), from the paragraph before Example 4 on pages 202 to the Summary on page 205, from the bottom of page 206 to page 210, online notes.
   • No additional work needed: 1, 3, 4, 8, 31, 35, 36.
   • Show what calculation you make for each part: 43, 49.
   • Show what equations or inequalities you solve, if any: 51, 53, 55, 59, 61.
   • Show what calculation you make for each part: 67, 75.
   • Show what calculation you make or what equation you solve: 77, 95.
7. Section 3.2 (pages 218–223):
   • Date assigned: October 19 or October 15.
   • Date done in class: October 21 or October 20.
   • Date due in final form: October 23 or October 22.
   • Reading: Pages 214–218 (but skip parts D and E of Example 4).
   • No additional work needed: 3, 4, 5, 11, 12, 14–17.
   • Show what calculation you make or what equation you solve for each part: 25, 27.
   • No additional work needed: 41, 43, 44.
8. Section 3.3 (pages 232–236):
   • Date assigned: October 19 or October 20.
   • Date done in class: October 21 or October 22.
   • Date due in final form: October 23 or October 27.
   • Reading: Pages 223–231, the definition on page 327, the definition on page 274, the theorem on page 275, online notes.
   • No additional work needed: 2, 3, 5, 6, 7, 13–24, 29–36.
   • Show what calculations you make or what equations you check: 37, 39, 43, 47.
   • Show what calculations you make or what equations you solve: 65, 67, 71.
9. Section 3.6 (pages 263–266):
   • Date assigned: October 21 or October 20.
   • Date done in class: October 23 or October 22.
   • Date due in final form: October 26 or October 27.
   • Reading: Pages 260–262 (but you can skip the parts about graphing calculators), online notes and video.
   • 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.
10. Section 4.1 (pages 280–283):
    • Date assigned: October 23 or October 22.
    • Date done in class: October 26 or October 27.
    • Date due in final form: October 28 or October 29.
    • Reading: Pages 274–280.
    • No additional work needed: 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.
11. Section 3.4 (pages 244–247):
    • Date assigned: October 26 or October 27.
    • Date done in class: October 28 or October 29.
    • Date due in final form: October 30 or November 3.
    • Reading: Pages 237–243.
    • No additional work needed: 1, 2, 4, 10, 11–26.
    • Show what numerical calculations you make: 27, 29.
    • Show at least what equations you solve for part B: 31–36.
    • No additional work needed: 43–46.
    • Show what numerical calculation you make: 49.
    • Optional (using a graphing calculator, or by hand using at least x = −2, −1, −1/2, 0, 1/2, 1, 2): 68, 69.
12. Section 6.1 (pages 408–410):
    • Date assigned: October 28 or October 27.
    • Date done in class: October 30 or November 3.
    • Date due in final form: November 2 or November 5.
    • Reading: From page 403 to the top of page 407, first half of online notes.
    • 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, if any, for each domain and show one other intermediate step for each part: 25, 27, 29, 33.
    • Show what equation you solve: 55, 56.
13. Section 6.2 (pages 419–423):
    • Date assigned: October 30 or October 29.
    • Date done in class: November 2 or November 5.
    • Date due in final form: November 4 or November 10.
    • Reading: Pages 411–419 (but you can skip Examples 1, 3, and 4), second half of online notes.
    • No additional work needed: 3, 4, 6, 7, 9, 11, 12, 21–26.
    • Show at least one intermediate step in each direction: 37, 39, 43.
    • No additional work needed: 45–50.
    • The graphs are optional, but show what equation you solve: 53, 55, 57, 63–69 odd.
    • No additional work needed: 77–82.
    • Extra credit: Also explain why your restriction makes the function one-to-one: 90.
14. Section 3.5 (pages 256–260):
    • Date assigned: November 2 or November 3.
    • Date done in class: November 4 or November 5.
    • Date due in final form: November 6 or November 10.
    • Reading: Pages 247–256, online notes.
    • No additional work needed: 1, 2, 3, 5–26.
    • Show both intermediate formulas: 27, 29.
    • No additional work needed: 31–36.
    • Be sure to show all stages, including the untransformed original: 39, 43, 45, 47, 49, 55.
    • No additional work needed: 63, 64, 87, 88.
15. Section 4.3 (pages 299–302):
    • Date assigned: November 4 or November 5.
    • Date done in class: November 6 or November 10.
    • Date due in final form: November 9 or November 12.
    • Reading: Pages 291–298, online notes.
    • No additional work needed: 1–4, 7, 11–20.
    • Show the intermediate steps in the graph by transformations: 21, 23.
    • Show the form f(x) = a(x − h)² + k, and show the intermediate steps in the graph by transformations: 25, 27.
    • State the vertex and intercepts, and show what numerical calculations you make or what equations you solve to find them: 33, 39, 43, 45.
    • Show at least one intermediate step: 51, 53.
    • Show what numerical calculations you make: 57, 59.
    • No additional work needed: 97.
16. Section 4.4 (pages 307–311):
    • Date assigned: November 6 or November 10.
    • Date done in class: November 9 or November 12.
    • Date due in final form: November 11 or November 17.
    • Reading: From page 302 through the top half of page 306, online notes.
    • 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.
17. Section 6.3 (pages 434–439):
    • Date assigned: November 9 or November 10.
    • Date done in class: November 11 or November 12.
    • Date due in final form: November 13 or November 17.
    • Reading: Pages 423–434, first half of online notes.
    • No additional work needed: 1, 7, 11, 13, 14.
    • Optional, to practise with your calculator: 19–25 odd.
    • Show what calculations you make to check: 27–33 odd.
    • No additional work needed: 35–42.
    • Show the graph before transforming as well: 43, 45, 49, 51, 55, 57, 59.
    • No additional work needed: 63.
    • Show at least one intermediate step for each: 65, 69–77 odd, 81, 83.
    • No additional work needed: 89–92.
18. Section 6.4 (pages 448–452):
    • Date assigned: November 11 or November 12.
    • Date done in class: November 13 or November 17.
    • Date due in final form: November 16 or November 19.
    • Reading: Pages 440–448, second half of online notes.
    • No additional work needed: 1.a, 4, 6, 9, 11–26.
    • Show at least one intermediate step: 27–37 odd.
    • Show what equations or inequalities you solve: 39, 43.
    • Optional, to practise with your calculator: 51–57 odd.
    • No additional work needed: 65–72.
    • Show what equations or inequalities you solve: 73, 79, 83, 86.
    • Show at least one intermediate step for each: 89–111 odd.
    • Show what numerical calculations you make: 119, 129–132.
19. Section 6.5 (pages 459&460):
    • Date assigned: November 13 or November 17.
    • Date done in class: November 16 or November 19.
    • Date due in final form: November 18 or November 24.
    • Reading: Pages 452–458, online notes.
    • No additional work needed: 1–7, 11, 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: 41–57 odd, 61–69 odd.
    • Optional, to practise with your calculator: 71–77 odd.
    • Show an intermediate step for each: 87, 91, 97.
20. Section 6.6 (pages 465–467):
    • Date assigned: November 16 or November 17.
    • Date done in class: November 18 or November 19.
    • Date due in final form: November 20 or November 24.
    • Reading: Pages 461–464.
    • No additional work needed: 1, 2.
    • Show at least one intermediate step for each: 5–9, 13–25 odd, 31, 35, 39, 41, 45, 53, 57.
21. Section 6.7 (pages 474–477):
    • Date assigned: November 18 or November 19.
    • Date done in class: November 20 or November 24.
    • Date due in final form: November 23 or December 1.
    • Reading: Pages 468–474, first part of online notes.
    • Show what numerical calculations you make or what equations you solve: 1, 2, 3, 5, 7, 11, 13, 15, 21, 31, 32, 41, 43.
22. Section 6.8 (pages 486–488):
    • Date assigned: November 20 or November 19.
    • Date done in class: November 23 or November 24.
    • Date due in final form: November 30 or December 1.
    • Reading: Pages 478–485, remainder of online notes.
    • Show what numerical calculations you make or what equations you solve: 1, 3, 5.b&c, 7.b, 9–21 odd, 23.a,c,d.
23. Section 5.1 (pages 338–342):
    • Date assigned: November 23 or November 24.
    • Date done in class: December 2 or December 3.
    • Date due in final form: December 4 or December 8.
    • Reading: Pages 322–336, online notes.
    • No additional work needed: 1, 2, 3, 6, 8, 9, 12, 15, 17–28.
    • Show the graph before transforming as well: 29, 31, 35, 37, 39.
    • Use 1 as the leading coefficient and show the factored form as an intermediate step: 43–49 odd.
    • Show what numerical calculation you make or what equation you solve to find the leading coefficient: 51, 53, 55.
    • No additional work needed, and skip part c: 57–60, 63, 66, 67, 68.
    • No additional work needed: 69–72.
    • No additional work needed, but use 1 as the leading coefficient and leave your answer in factored form: 73, 74.
    • Skip Step 4 (turning points), but be sure to write out your results for Steps 1 through 3: 81, 82, 87, 88, 91, 96, 97, 98.
24. Section 5.5 (pages 386–389):
    • Date assigned: November 30 or December 1.
    • Date done in class: December 4 or December 3.
    • Date due in final form: December 7 or December 8.
    • Reading: Pages 58–61, page 375 through the middle of page 378, from the top of page 380 to the top of page 383.
    • No additional work necessary: 1–4, 6, 9.
    • Show what numerical calculations you make: 11, 15, 19.
    • No additional work necessary: 33–38.
    • Show how you check each potential root/zero: 45, 51, 53.
    • Show the polynomial in factored form: 57, 59, 65, 67, 93, 99, 101.
25. Section 5.6 (pages 394&395):
    • Date assigned: December 4 or December 3.
    • Date done in class: December 7 or December 8.
    • Date due in final form: December 9 or December 10.
    • Reading: Pages 390–394.
    • No additional work needed: 1, 2, 4, 7–16.
    • Use 1 as the leading coefficient, and show the expression before and after expanding: 17, 19, 21.
    • Show your factoring or division: 23, 27, 33, 37.
    • No additional work needed: 44–47.
26. Section 5.2 (pages 350–353):
    • Date assigned: December 7 or December 8.
    • Date done in class: December 9 or December 10.
    • Date due in final form: December 14 or December 17.
    • Reading: Pages 343–350, online notes.
    • No additional work needed: 2, 3, 4, 6, 7.
    • Show at least one intermediate step: 15–19, 23.
    • No additional work necessary: 27, 31.
    • Show the graph before transforming as well: 35.
    • Show what numerical calculations you make or what equations you solve: 45, 49, 50.
27. Section 5.3 (pages 365–368):
    • Date assigned: December 7 or December 8.
    • Date done in class: December 11 or December 15.
    • Date due in final form: December 14 or December 17.
    • Reading: Pages 353–364.
    • No additional work needed: 1, 3, 5.
    • Show what numerical calculations you make or what equations you solve: 7–11, 17–23 odd, 31, 33, 35.
    • No additional work needed: 51–54.
28. Section 5.4 (pages 372–375):
    • Date assigned: December 11 or December 15.
    • Date done in class: None.
    • Date due in final form: Never.
    • Reading: Pages 368–372, online notes.
    • No additional work needed: 1, 3, 5–8.
    • Show the graph that you use: 9, 13, 15.
    • Show what test calculations you make, what multiplicities you use, or otherwise enough work that I can tell what method you use: 19, 21, 23, 27, 29, 33, 37, 39, 41, 43.

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