1. Objectives:
1. Write a polynomial for a situation
2. Find max & min values of the function

2. Quadratic Functions
Remember: the max/min of a quadratic
occurs at the vertex of the parabola.
For f(x) = ax2 + bx + c, this is at

3. Example 1:
A rectangular dog pen is constructed
using a barn wall as one side and 60 m of
fencing for the other three. Find the
dimensions of the pen that give the
greatest area.
x x
60 - 2x

4. Cubic Functions
Function has “local maximum” at a peak
and/or “local minimum” at a valley.
Find using graphing calculator
(Menu, Trace, Graph Trace)

5. Example 2:
Squares with sides of length x are cut
from the corners of a rectangular piece of
sheet metal with dimensions 6in. by 10 in.
The metal is then folded to make an open
box. What is the maximum volume of the
box?