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Functions : Domain, Intercepts, Symmetry, Asymptotes and Graphing

Given the function R(x) = X^2 + x -12 / X^2 - 4

1. Give the domain
2. Give the X - intercepts
3. Give the Y - intercepts
4. Does it have symmetry with respect to the Y-axis, the origin or neither?
5. Give the vertical asymptotes
6. Give the horizontal asymptotes
7. Graph the function by dividing the axis and tell if the graph is above or below the axis for it's intervals.

Solution Summary

Domain, Intercepts, Symmetry, Asymptotes and Graph of a function are investigated. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.