Chapter 3
Linear and Quadratic
Functions!
Section 3.4 – Building Quadratic Models
IBTWW…
1. Build Quadratic Models from Verbal Descriptions
2. Build Quadratic Models from Data
Maximizing Revenue….more money!!
a)
b)
c)
d)
e)
f)
g)
Find a model that expresses the revenue, R, as a function of the price, p.
What is the DOMAIN of R?
What unit price should be used to MAXIMIZE revenue?
What is the MAXIMUM revenue?
How many units are sold at this price?
Graph it!
What price should TI charge to collect at least $675,000 in revenue?
Maximizing the Area Enclosed by a Fence
• Farmer Ted has 2,000 yards of
fence to enclose his rectangular
field which grows calculators.
What are the dimensions of the
rectangle that encloses the most
area?
Fitting a Quadratic Function to Data
• A) Draw a scatter-gram and
describe the relationship
• B) Find the Quadratic Function
of Best Fit
• C) Approximate the age at which
the % of the population is
greatest
• D) Use the model to
approximate the highest % of
the population that is divorced