Detailed notes for Chapter 2

This page makes reference to specific lines on the pages of the Precaculus: College Algebra and Trigonometry textbook. In order to have a ruler to identify lines on a page, please obtain a printout of the index sheet.

Page 97:

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Page 98:

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At line 30, the image is indeed from a TI-89 but it has been mistakenly stretched to the right.

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Page 99:

At line 19: insert the line "= 9 – 3x + x²/4"

At line 39: the note at the left should be (3x–1)^–5(3x–1) = (3x–1)^–4

Page 100:

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At line 21: The calculator image needs to be terminated on the right.

At line 27: Fix "limilar" to "similar".

At line 36: The calculator image needs to be terminated on the right.

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Page 102:

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At line 28: The calculator image needs to be terminated on the right.

Page 107:

At line 11: insert the word "by" after the function and before the word "locating".

At line 33: insert the word "by" after the function and before the word "locating".

Page 109:

At line 28: Although I understand saying that there is "no slope" we certainly want to include some note that referes to this as "the slope is undefined".

Page 110:

At line 10: Although I understand saying that there is "no slope" we certainly want to include some note that referes to this as "the slope is undefined".

Page 112:

At line 12: The paragraph should start with:
Let (x,y) represent all points of the line, other than our one point (x₁,y₁). The slope determined by (x₁,y₁) and any other point (x,y) will always equal m; therefore,

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Page 113:

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Page 137:

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Page 138:

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At line 10 note that the x-scale is really set at 5, not 4. (Note to Dennis, please change the comment so that it says x-scale=5 y-scale=4 rather than change the image because the web page produces the image with the 5 and 4 values.)

At line 25, there is an extra period at the start of the line.

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Page 141:

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At line 14, where do we actually solve this problem later in the chapter?

Page 146:

At line14, we need a margin note to the effect that "If b²–4ac<0 then there is no real soution and there are no x-intercepts."

Page 149:

At line 13, point 3), end it with ", and if they exist."

Page 155:

At line 33 and line 34: Remove the phrase "with your graphics device". The graphing calculators generate the graphs without any of this information. This material is useful for drawing graphs by hand.

Page 156:

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Page 157:

At line 7: Change the sentence from "She believes that a $2..." to "She believes that each $2..."

Page 158:

Move the image that is at the top of the page to line 34. It is confusing to "see" the answer in the image when the rest of the page demonstrates the steps needed to generate that image.

Page 159:

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At line 28: expand the box so that the equation is on one line.

Page 160:

I find the text difficult to follow, starting at the bottom of the page. I think that it would be easier to follow if we place the words "For the situation where: " before the ax² bx + c < 0; a > 0 . Then we would need to change the style for the subsequent page.

Page 161: At line 14, change the sentence from 'If the statement is' to something like 'If we change the "less than" situation to a "less than or equal to", as in'

At line 16, change the line to "For the situation where: " before the ax² bx + c > 0; a > 0 .

At line 29, change the sentence from 'If the statement is' to something like 'If we change the "greater than" situation to a "greater than or equal to", as in'

Page 169:

At line 17, we should call this a "relation" not a function. We know that the parametric equations will generate a relation (because they generate ordered pairs), but we do not know if it will be a function.

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At line 33, change the first sentence and the start of the second to "Note that the parameter t does not appear in the graph, it is a graph of (x,y) pairs. We can eliminate ..."

Page 171:

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At line 14, either move the "The graph is a parabola, shown below." so that it is above the graph, or change it to "The graph is a parabola, as shown above."

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Page 172:

At line 4, change "constitutes the curve" to "constitutes the relation".

At line 26, and in the following three pages there are a number of references to "rectangular form". I think that these should be "function form" as compared to a "parametric form". The term "rectangular" differentiates things like polar coordinates from the xy-coordinate plane. Both the function form and the parametric form presented here are using the same xy-coordinate plane.

At line 28, the reference to "rectangular equations" should be changed to "relations". See the same problem on line 8 of page 175.

Page 173:

Move line 26, "Now consider..." to the left; it is not part of the Solution for EXAMPLE 4.

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