Peer Instruction for September 8 and 9.

Exercise 1. If
=
and

(a) find the horizontal and vertical aysmptotes of ;

(b) graph function ,

(c) graph

(d) solve or ,

(e) solve or

Exercise 2. If and

(a) find the horizontal and vertical aysmptotes of ;

(b) graph ,

(c) graph

(c) solve or . [Note that and solving is the same as sovling .

Exercise 3. If and

(a) find the horizontal and vertical aysmptotes of f,

(b) graph ,

(c) graph

(d) solve or ,

(e) solve or [[*Note that solving is the same as solving .]

Exercise 4: Find two rational functions which satisfy all the following conditions and use a technology to check your answers.

(1) the vertical asymptotes of are at and ,

(2) the horizontal asymptote of is at ,

(3) .

[hint: try and