Algebra 2
Chapter 8
Name
Period
What are the four types of variation?
Give an example of each.
Date
How do you simplify a rational
expression?
What do you need to have in
order to add or subtract rational
expressions?
How do you find the holes in
a graph?
What is a rational function?
How do you find the domain of a
rational function?
What are vertical
asymptotes and how do
you find them?
What are horizontal
asymptotes and what are the
3 rules for how to find them?
1. The variable y varies jointly as x and z,
and y = 50 when x = 20 and z = 5.
2. The variable y varies jointly as x and z and inversely
as w. When y = 120, x = 15, z = 16, and w = 3.
a. Find the constant of variation, and
write an equation for the relationship.
a. Find the constant of variation, and write an equation
for the relationship.
b. Find y when x = 30 and z = 12.
b. Find y when x = 24, z = 20, and w = 8.
3. Using the function f(x) =
a. DOMAIN
4. Simplify
7. Simplify
( x  2)( x  5)
, find the requested information.
( x  3)( x  5)( x  2)
b. HOLES
x 1
x( x  3)

.
3
x ( x  3) ( x  2)( x  1)
3x  1 4 x  1

.
x2
x3
c. VERTICAL
asymptotes
8x 3
5x

5. Simplify 2
.
x ( x  2) 3x  6
8. Solve
d. HORIZONTAL
asymptotes
6. Solve
x2
 3.
x2
2
5
x2  3

 2
.
x  7 x  7 x  49