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Not Rational
Not Rational
How would you go about finding these about these two rational functions?


i think i have an idea but im not exactly sure so if you can answer both or even one thatd be great.
i have to:
a) identify all intercepts
b) find any vertical and horizontal asymptotes
c) check for symmetry

now the rational functions:
g(x)=(1/x+2)+2
and
f(x)=2-(3/x^2)

thanks!

g(x) = (1/(x+2)) + 2
as x approaches -2 from the left (negative side) g(x) goes to neg. infinity
as x approaches -2 from the right (positive side) g(x) goes to pos. infinity

f(x) = 2 - (3/x^2)
any thing with x^2 or x^4 or x^6 or whatever will automatically be symmetric for +/- x so it will be symmetric around the y axis.



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Rational Egoism


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High Quality Content by WIKIPEDIA articles In ethical philosophy, rational selfishness, or rational egoism or egotism is the principle that an action is rational if and only if it maximizes ones selfinterest The view is a normative form of egoism. However, it is different from other forms of egoism, such as ethical egoism and psychological egoism. While psychological egoism is about motivation and ethical egoism is about morality, rational egoism is a view about rationality (where rationality may or may not be tied to morality). Ethical egoism is also different from amoralism.Rational egoism is discussed by the nineteenthcentury English philosopher Henry Sidgwick in The Methods of Ethics Author: Surhone, Lambert M./ Timpledon, Miriam T./ Marseken, Susan F. Binding Type: Paperback Number of Pages: 88 Publication Date: 2010/07/10 Language: English Dimensions: 6.00 x 9.00 x 0.21 inches

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Rational choice is the dominant theoretical approach in political science in North America and one of the main contending approaches elsewhere. This major new text provides a clear and accessible introduction assuming no prior knowledge and providing a uniquely fair-minded assessment of both the strengths and limitations of the approach. Truly international in scope and in its choice of examples, it provides broad-ranging coverage of the areas in which rational choice has been widely used and in-depth coverage of the main works of its key protagonists.

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Foundations of Rational Agency


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High Quality Content by WIKIPEDIA articles In mathematics, rational homotopy theory is the study of the rational homotopy type of a space, which means roughly that one ignores all torsion in the homotopy groups. It was started by Dennis Sullivan (1977) and Daniel Quillen (1969).Rational homotopy types of simply connected spaces can be identified with certain algebraic objects called minimal Sullivan algebras, which are commutative differential graded algebras over the rational numbers satisfying certain conditions.The standard textbook on rational homotopy theory is (Felix, Halperin Thomas 2001). Author: Surhone, Lambert M./ Tennoe, Mariam T./ Henssonow, Susan F. Binding Type: Paperback Number of Pages: 106 Publication Date: 2010/08/20 Language: English Dimensions: 6.00 x 9.02 x 0.25 inches

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Recording initially on Jeep Holland's local A Square label, Ann Arbor's Rationals predated two of the town's other subsequently influential bands, the MC5 and the Stooges, by a couple of years, although, aside from hitting the lower regions of the national charts with their wonderful version of Otis Redding's "Respect" in 1966, the group never got a whole lot of popular or critical attention outside of Michigan. Which is a true shame, since this energetic little pop-soul combo -- half British Invasion and half Memphis soul -- had a lot going for itself, and it's possible to imagine the Rationals having the kind of success the Rascals had during the same time period, only with a much more garage-styled approach to soul and R&B. Alas, that didn't happen. This delightful two-disc set of Rationals singles, B-sides, and outtakes covers the group's earliest (and arguably best) period, from 1965 to 1968, and includes material done for A Square, Cameo/Parkway and Capitol, but cuts off before the band's sole LP (simply called The Rationals) was issued in 1970 by Crewe. One could argue that a few vital curios were left off this set, but there's still plenty here to like, including the original single version of "Respect," the garage blast of "Feelin' Lost," the Byrds-like "Gave My Love" (there are two versions here, with the earlier 1965 one being marginally more effective), two scorching takes on the Motown song "Leavin' Here" (with the later version, done in 1967, perhaps being the better of the two), and a vicious, slashing rendition of Johnny Watson's "Poor Dog (Who Can't Wag His Own Tail" that was punk well before even the Stooges' unwittingly created the template for it. Collectors and fans of the Rationals have been waiting for a set like this for a long time, and while it isn't perfect, it's still going to be the one to beat. The fuss in Ann Arbor all started with these tracks. ~ Steve Leggett

Rational Action


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Atheism is not Skepticism or Rational



Do you believe people are generally rational or irrational?


I'm not asking if we are capable of rationality, but whether or not you feel that we are good at being rational in our lives?

People are generally irrational, but not because of being stupid, but because of ignorance.