Question 628172
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Look at the behavior of the function as *[tex \LARGE x\ \rightarrow\ \infty] and as *[tex \LARGE x\ \rightarrow\ -\infty].  Then look at the behavior as *[tex \LARGE x\ \rightarrow\ -2] from both the right and the left.  Consider the sign of the function value on the following intervals: *[tex \LARGE \left(-\infty,-2\right)], *[tex \LARGE \left(-2,0\right)], and *[tex \LARGE \left(0,\infty\right) ]


Remember, the horizontal asymptote of a rational function where the numerator an denominator are of equal degree is *[tex \LARGE y\ =\ \frac{a}{b}] where *[tex \LARGE a] is the lead coefficient of the numerator and *[tex \LARGE b] is the lead coefficient of the denominator.


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
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