Sections 4.5 & 4.6.  Read Section 4.5 from the beginning through the end of Example 1 on page 313; scan the rest of the section.  Read Section 4.6 from the beginning through the end of Example 1 on page 319.  Answer the following questions by 7:00 am.  Send an e-mail with subject line MA251 to selliott@utm.edu .

1) Step A of the guidelines for curve sketching is to find the domain.  What are the three problems that would cause a real number not to be in the domain of a function we use in this course?

1. Can't divide by zero, square root of a negative, and logarithm of a non positive.
Hugh Pinkley

2) Step D of the guidelines for curve sketching tells us to identify asymptotes.  Finish the sentence: The line y = L is a horizontal asymptote of the curve y = f(x) if . . . . [Read carefully - I have changed the word order from the sentence that appears in the book.  You need to type things from the beginning of the sentence in the book as the end of the sentence here]

2) If either lim(x->infinity)f(x)= L or lim(x->-infinity)f(x)=L

Alyssa Reed

3) Finish the sentence: In Section 4.6, Dr. Stewart shows us how to ". . . use calculus to make sure that we reveal __________ ." (several words go in the blank).

All of the important aspects of the curve

Michael Blankinship