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Essay / Research Paper Abstract
A 3 page paper examining factors affecting engineers' understanding of graphing functions for a new software product. The paper's premise is software, but its subject is finding x- and y-intercepts and asymptotes, then graphing the equation. The equation used is f(x) = x – 1/ x^2 – x – 12. Bibliography lists 4 sources.
Page Count:
3 pages (~225 words per page)
File: CC6_KSmathAsympt.rtf
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Unformatted sample text from the term paper:
overseeing development of code that will develop "graphics capability to support simplifying, graphing, and displaying rational functions." An example of the need to explain to the engineers developing the
code for this project is finding x- and y-intercepts that involve asymptotes. Demonstration Function The function chosen for example purposes is: f(x)
= x - 1 x2 - x - 12 There is no horizontal
asymptote in the graph of this function, but it does contain two vertical asymptotes. The code providing graphing capabilities must be able to solve for x and y, and
find the x- and y-intercepts, which for this equation are (0,1/12) and (1,0), found by: (x-4)(x+3)
x = 4, -3 This functions end behavior asymptote is y = 0. There
are four intermediate behaviors: x --> 4+ f(x) --> 8 x --> 4- f(x) --> 8
x --> 3+ f(x) --> 8 x --> 3- f(x) --> 8 The end behavior is:
x --> 8 f(x) --> 0 Doctor Leigh Ann (n.d.) explains that asymptotes "occur
when you have a value for which a function is undefined, and where the limit (the number the function is approaching as it gets close to that value) is either
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