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 5e; if another Lesson is due the same day as this
Lesson is due, staple the two Lessons separately and turn them in
separately.)
Last modified Oct 9, 2009 10:07 PM
Postponed to Monday, October 5
- Sect. 3.3:
- In a homework problem, a student is given a function f and, in part (a) of the problem, the student is asked to find the difference quotient (average rate of change) [ f(a + h) - f(a)] /[h].
The student obtains, for the function given,
(a) [ f(a + h) - f(a)] /[h] = 3a2 + 3ah + h2 + 2a + h.
Use this answer to find
(b) [f(x) - f(a)] /[x - a]
(for the same function f ) and explain clearly what you're doing.
As mentioned in previous editions of Lesson 5 (i.e., Lessons 5c, 5b, 5a), the point is to do this without knowing the original function f. The point is to get the answer to (b) directly from the answer to (a), without knowing, or determining, the original function f.
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 Oct 9, 2009 10:07 PM
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