Lesson 38a.

NOTE: Be sure to read  Homework Format  and Homework Writing Policy BEFORE writing up your solutions to be turned in.

Due Wednesday, April 2.
Due again Wednesday, April 9.

If you have previously solved this problem correctly in Lesson 38, you have received credit for this Lesson (Lesson 38a) and you do not have to turn in a solution again.

Optional Hint.  Think about the approach to Exercise 7.3(c), which follows Exercise 7.3(b).
Let  g  be the function defined by the same formula as the function  f  in Exercise 7.7(e), but with domain being the set of all real numbers. Find the image of the interval  [0,1].  Prove your answer, using only simple algebra*.
* Added April 2:
Use only simple manipulative algebra. Do not use properties of derivatives, or continuous functions, or polynomial functions, or quadratic functions, or quadratic equations, or parabolas, etc. (unless, of course, you prove the properties using the relevant definitions).

YOU DO NOT NEED to use properties of derivatives, or continuous functions, or polynomial functions, or quadratic functions, or quadratic equations, or parabolas, etc. This problem can be done simply, using simple algebra.


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 Apr 14, 2008 10:33 AM

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