Rational Functions Assignment, algebra homework help

Please complete the following questions. It is important that youshow all work you did to solve the problems when you submit your work.This includes any calculations, diagrams, or graphs that helped yousolve it.

Writing in Math Use the information onpage 477 to explain how rational functions can be used when buying agroup gift. Explain why only part of the graph of the rational functionis meaningful in the context of the problem. Page 477 is in the attachments. 476 – 477 / 1100
American
High School
100
Q
Main Ideas
• Determine the
limitations on the
domains and ranges
of the graphs of
rational funct
• Graph ration
functions.
1 student could
pay $150.
GET READY for the Lesson
A group of students want to get their
favorite teacher, Mr. Salgado, a
retirement gift. They plan to get him a
gift certificate for a weekend package at
a lodge in a state park. The certificate
costs $150. If c represents the cost for
each student and s represents the
150
number of students, then c =
C
150
125
100
Cost (dollars)
75
8 50
25
25 students could
each pay $6.
150 students could
each pay $1.
Ne Vary
S.
0
25 50 75 100 125 150
Students
ratio anction
cont uit
asy ptote
pun discontin
Domain and Range The function c =
150
is a rational function. A
p(x)
rational function has an equation of the form f(x) where p(x) and
9(x)’
9(x) are polynomial functions and g(x) = 0. Here are other rational
functions.
+4
f(x)
**3
h(x) =
(x – 1)(x + 4)
8(x)
5
X-6