NOTE 1: Be sure to read Homework Format, Homework Writing Policy, and Explanations Expected BEFORE writing up your solutions to be turned in.
NOTE 2: When two or more Lessons are to be turned in on the same
day, please staple the Lessons separately and turn them in separately.
(This is Lesson 10; if another Lesson is due the same day as this
Lesson is due, staple the two Lessons separately and turn them in
separately.)
Due Wednesday, September 16
- Sect. 3.5:
- Exercises 2*, 10**, 14(a)(b), 20***, 20a****, 24.
* For Exercise 2 and others, be sure you understand the difference between the multiplication of functions (in Ex. 2(a)) and the composition of functions, in later Exercises.
** In Exercise 10, do parts (b) and (d) in two ways (cf. Example 3): by using the general result of a previous part of this Exercise, and by calculating the composition directly for the particular number requested (if you read Example 3, you should understand what this means).
Note: You're assigned ALL parts of Exercise 10; the instructions above describe how you are supposed to do parts (b) and (d).
*** In Exercise 20, be sure to include the two original tables (for f and g); you will need these both for Exercise 20 and for Exercise 20a (see below).
Do not just write down the answer for the values of gof(x). Show step-wise how you get them. E.g.,
gof(0) = g(f(0)) = g(...) = ... .
You don't have to write your answers in a table as given; you can, probably more clearly, write them one below the other.
**** Exercise 20a is not in the book. Here is Exercise 20a:
20a. Determine fog.
This asks you to do essentially the same thing you did in Exercise 20, but with the functions in opposite order. This will require you to pay careful attention to what numbers are in the domain of the composition. E.g., fog(0) is defined, but fog(1/4) is not defined.
NOTE 1: Be sure to read Homework Format, Homework Writing Policy, and Explanations Expected BEFORE writing up your solutions to be turned in.
NOTE: As stated on the Course Home Page, all due dates are tentative. Assignments, or parts of assignments, may be postponed to a later date.
Last modified Sep 19, 2009 9:19 AM
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