Asymptotes of Rational Functio

1) Rational functions, graph and show asymptotes.

a) r(x)=1/x-4

b) r(x)=2x/1-x^2

c) r(x)= x^3+1/x^2-1

2) Define the inverse trigonometric functions for sinx & cosx.

Asymptotes of rational functio

Given: y = (x+1)(x-5)/[( x-3)(x+2)]
1. Where are the zeros of y? Draw them on a piece of graph paper, or write “none”.
2. Where are the vertical asymptotes? Draw them on your graph, or write “none”.
3. Where are the horizontal asymptotes? Draw them on your graph, or write “none”.
4. Where are the slant asymptotes? Draw them on your graph, or write “none”.
5. What is y(6)?
6. What is y(-4)?
7. Sketch the shape of the expected function of y on your graph paper. Remember, your plot must go through the points in (5) and (6) plus any zeroes without crossing any asymptotes