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Mathematics - Algebra

Pick a rational function.
here are some examples you can use: y = (x+1)/(x-2), y = 3x/(x^2-1), y = (2x-1)/4x, y = (x+3)/(x^2-1), y = (x^2+1)/(x^2 -3), y = (6x+1)/(x^2), y = x^2/(x-3), y = (3x-5)/(4x+7), y = (x^2)/(x^3 - 1)

a) Vertical Assymptote (if any)
b) Horizontal Assymptote (if any)
c) Slant Assymptote (if any)
d) X and Y intercepts

Graph your function.

For all Rational Functions:

*By looking at the equation for a rational function, how can you tell if there will be "y-values" which will never occur?
*If you let x take on very large positive values, and very small negative values, what can this tell you about the far right and left sides of the graph of a rational function that has horizontal asymptotes?

Solution Summary

A Complete, Neat and Step-by-step Solution is provided in the attached file.