Introduction to Detailed Notes
These are notes that I made on my reading of the textbook. There
is no real attempt to have comments on absolutely everything in the
book noted here. At the same time, there is supplementary material here that
is not in the book.
After writing out the notes for the first few sections, it has become clear that
there is a tendency to make this a "teaching" document. As much as possible,
efforts will be made to not do this. Rather, if there is teaching material
to be presented then that will be done in separate pages, with pointers inserted here.
Chapter 4: Exponential and Logarithmic Functions
Chapter 4, Section 0: Review of Exponents
Page 259, second line: change "latter" to "later".
Page 259, the graph: This screen imae is the result of using the "ISECT" menu option from a TI-86 graph MATH submenu. The use of ISECT was introduced in chapter 1 via the Example 14 page, with a version for the TI-89 on the Example 14 for the TI-89 page.
Chapter 4, Section 1: Exponential Functions
Page 262, just above Example 1: It is important to not that we are restricting our exponential funcions to have a base that is non-negative and not equal to 1.
Page 264, Example 6: Note the difference between the problem given in this example, namely
1.
The function g(x) = (– 3)x does not
conform to that definition. Notice that g(x) is not defined for values of x that are
"even roots", such as x=(1/2) or x=(1/4).
Page 265, at the bottom, the limit should be written as
Page 266, the graph solution to Example 11, and the text that follows: I am not sure just how this graph was created. Look at the web page on graphing (1+1/x)^x for a larger discussion of the graph and the associated problems in interpretations.
| In version 1 only |
| The graphs on the top of page 268 are reversed. |
Page 272, Example 25: The given solution does not work
with the problem as given. See the web page on this example for
an analysis of the problem.
Chapter 4, Section 2: Logarithmic Functions
to be done
Chapter 4, Section 3: Properties of Logarithms
to be done
Chapter 4, Section 4: Exponential and Logarithmic Applications
to be done
©Roger M. Palay
Saline, MI 48176
March, 1998