This preview shows page 1. Sign up to view the full content.
Unit 2, Activity 6, Rational Functions and their Graphs
Blackline Masters, Advanced MathPreCalculus
Page 66
Louisiana Comprehensive Curriculum, Revised 2008
PART I
For each of the following problems
a) Find the domain. Set the denominator equal to zero and solve
D
(
x
) = 0. The
solutions to that equation are the discontinuities of the function and not in the
domain.
b) Find all zeros of the function. Set the numerator equal to zero and solve
N
(
x
) = 0. If one or more of the solutions are also solutions to
D
(
x
) = 0, then that
value of
x
represents the location of a hole in the graph. Solutions that are unique
to
N
(
x
) = 0 represent the
x
intercepts of the graph. Plot those intercepts.
c) Identify any vertical and horizontal asymptotes. Draw them on the graph with a
dashed line.
d) Find the
y
intercept (if any) by evaluating
f
(0). Plot that point.
e) Find and plot one or two points prior to and beyond each of the vertical
asymptotes.
e) Graph the function
This is the end of the preview. Sign up
to
access the rest of the document.
This note was uploaded on 10/10/2011 for the course MAC 1147 taught by Professor German during the Fall '08 term at University of Florida.
 Fall '08
 GERMAN
 Calculus, PreCalculus, Rational Functions

Click to edit the document details