No they don't. They just stretch for a very long ways horizontally without much increase vertically because the output of the function is the exponent of the input. For example, f(x) = log x when x = 1000, f(x) = 3 because 10^3 = 1000 (10 being the base of common log). Therefore, when you increase x substantially, there is only a small increase in y.
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tangent, cosecants, secant, cotangent.
Asymptotes are one way - not the only way, but one of several - to analyze the general behavior of a function.
Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).Yes, to the left (towards minus infinity).
Substitute y = mx + b into the equation and then use the fact that there must a double root (at infinity)
that's simple an equation is settled of asymptotes so if you know the asymptotes... etc etc Need more help? write it