Geometry
posted by Barby .
using the 8 steps in Sec 4.3 of your book, analyze the graph of the following function.
R(x)= x^2+x30/ x^2x20

Without knowing the 8 steps to which you are referring, you can do the following:
Factor both numerator and denominator:
R(x)=(x5)(x+6)/[(x5)(x+4)]
You will find the zeroes and asymptotes.
Since there is a common factor (x5), the point f(5) is indeterminate and should be taken out of the domain.
Check against your eight steps.
If it's not clear, please post which step you need further explanations.