I need help with some of my problems.
5. y = 3x-2/(x+6)(x-2)
6. y = (x-1)^2/x+2
7. y = (x+3)(x+2)/(x-1)
9. y = (x+5)(x-4)(x+2)/(x+1)(x-2)(x+1)
12. y = 3x^2/(x-5)(x+2)
I am suppose to graph these. I have to find the EbA.
My teacher says for the EBA:
Case 1: If numerator< denominator, the x-axis y=0 is the horizontal asymptote.
Case 2: If n=m, then y=an/bm is the horizontal asymptote. that is the ratio of leading ocefficients.
Case 3: If n>m, there is no horizontal asymptote, If n=m+1 there is an oblique asymptote.
I've never heard of an "EbA". For a complete explanation of what you're instructor appears to be referring to, try this lesson on asymptotes. It illustrates how to find vertical, horizontal, and slant ("oblique") asymptotes.
To put it all together for the graph (intercepts, asymptotes, etc), try here.