Week 2 of m151
(§ 2, Mr. Lane)
30 Jan – 3 Feb, 2017

Math Learning Center (in Math 011) has tutors:
9am–4pm on Monday–Thursday and 9am–1pm on Friday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

math@Mansfield (Library) has tutors: 6:30pm – 9:00pm on Sunday–Thursday

- The Homework-Quiz score for each half-semester counts toward course
grade the same amount as one of the four mid-term exams (and same as
half of final exam);
i.e., it contributes one-eighth of the scored work. That HQ score,
percentage of total available points, is based on four parts:
- written homework
- in-class quizzes
- Reading Question assignments in WeBWorK with a few problems about
ideas in one section of the text. These RQ assignments will open
1–2 days before their topic is scheduled for a class meeting and
will close at 10am
**on**the day for that topic. For example,**RQ-2-4**opened Friday, 27 Jan, and closes Monday, 30 Jan, at 10 am. - WeBWorK
**day-##**assignments have a diverse collection of problems requiring more thinking, will be open for 4–5 days and usually close at 11 pm about 2 days after their latest topic was discussed in class.

- Monday (30 January 2017) [d05]
WeBWorK:
Reading Question assignment RQ-2-4 closes at 10 am,
day-03 closes at 11 pm
- Study section 2.4 (
*Preview of Transformations: Shifts*).- A formula specifying a vertical shift is easy to interpret, a horizontal shift requires a bit more thought.
- Our text's discussion of
**outside**and**inside**changes makes a very useful distinction.

- Work on these items at the end of section 2.4:
s3, s4, s7;
1, 3–4, 7, 9;
11, 13, 15,
**17**, 25 - Study section 2.5
(
*Preview of Composite and Inverse Functions*) through Example 3 (ends on page 99). - Work on these items at end of §2.5:
s8, s9, s11;
5–6, 13, 15;
**51**, 55, 56

- Study section 2.4 (
- Tuesday [d06]
WeBWorK:
RQ-2-5 closes at 10 am,
day-04 closes at 11 pm
- Resume study of section 2.5 with its discussion of
*Inverse Functions*(on page 99).- If f and g are functions such that
- f( g(s) ) = s for all s in the domain of g
- g( f(t) ) = t for all t in the domain of f

*inverse*of the other. We can write f = g^{−1}and g = f^{−1}. - Study the paragraph preceding Example 4 carefully.
It is a
**Warning**about notation for the inverse of a function. - Figure 2.32 provides one view of the relation between function
f and its inverse function f
^{−1}. Make sure you understand how parts of this figure are related. Note that the domain of f is the range of f^{−1}and the range of f is the domain of f^{−1}. - If function f has an inverse and if y = f(x), then
f
^{−1}(y) = x. In real-world examples, each variable has its own meaning (and units). Examples 6 and 7 discuss a cricket function computing temperature T in terms of chirp rate R:**T = f(R)**. The inverse of that cricket function computes chirp rate R in terms of temperature T:**f**.^{−1}(T) = R

- If f and g are functions such that
- Work on these problems in section 2.5: s1, s5, s3; 21, 29, 32, 33; 34, 39, 45, 47, 49, 57
- Study section 2.6 (
*Concavity*). Think about various ways to describe concavity, for example,*a graph is*if and only if**concave up**- its rate-of-change is increasing,
- slopes of its tangent lines are increasing,
- the graph
*bends upward*. - the graph is above each of its tangent lines,
- the graph is below each of its chords (line segments joining two points on the graph),

- Work on these problems in section 2.6:
1, 3, 5, 7, 9, 11;
13, 16, 17, 19,
**23**,**24** - Anticipate a quiz on Tuesday or Wednesday.

- Resume study of section 2.5 with its discussion of
- Wednesday [d07]
WeBWorK:
RQ-2-6 closes at 10 am,
day-05 closes at 11 pm
- Study
*Skills for Factoring*on pages 131–134 (the first part of the Skills Refresher for Chapter 3).- Review
**factoring**as an algebraic task. - Review the
**Quadratic Formula**. - Work on its exercises 13, 33, 39, 49, 54, 85 (on pages 134–135).

- Review
- Study section 3.1
(
*Introduction to the Family of Quadratic Functions*) through Example 4 (ends on page 118). - Work on these problems in section 3.1:
s1, s3, s5, s7, s9;
3, 5, 7, 9,
**11**, 13; 25, 28–29, 35, 37

- Study
- Friday (3 February 2017) [d08]
WeBWorK:
RQ-3-1 closes at 10 am,
day-06 closes Saturday at 11 pm
- Write-up solutions of these five problems; hand-in your written
homework at the
**start**of Friday's class.**section**2.1 2.2 2.3 2.4 2.5 **problems**20 24 24 26 46 - Review the first part of section 3.1 (through Example 4) and study its remaining discussion and examples.
- Study
*Completing the Square*on pages 136–138 (second part of the Skills Refresher appendix for Chapter 3) and work on its exercises 1, 3, 5, 11, 23,**39**(on page 138).

- Write-up solutions of these five problems; hand-in your written
homework at the

© Richard B Lane
Last modified: 16 March 2017, Thursday 19:14