1. Sketch the graph of each function. 1. −𝑥 𝑥+5 2 (𝑥 + 3) 2.𝑥4−2𝑥3−3𝑥2
Warm Up
Sketch the graph of each function.
1. −𝑥 𝑥+5 2 (𝑥 + 3)
2.𝑥4−2𝑥3−3𝑥2
Write a possible
equation for the graph
at the right.
4. The cost (in dollars) of manufacturing x items is given by: 𝑪(𝒙)=𝒙𝟑−𝟖𝒙𝟐+𝟏𝟔𝒙. What is the cost of manufacturing 18 items?

2. Quiz Results
Period Average Median % 88% 64% 7 80% 88% 73.1% % 92.8% 82.1%
Test Corrections must be completed by next Friday, September 21. You have today, Monday, Wednesday, and Friday at lunch, flex, or after school.

3. Main Ideas Finding the Max or Min of a Quadratic Function
Chapter 2 Section 4
Main Ideas
Finding the Max or Min of a Quadratic Function
Finding the Local Max or Min of a Cubic Function
Solving a Polynomial Equation with a Calculator

4. 2.4 Finding Maximums and Minimums of Polynomial Functions

5. Problem
A rectangular dog pen is constructed using a barn wall as one side and 60 m. of fencing for the other three sides. Find the dimensions of the pen that give the greatest area.
What is the problem asking you to find?
Draw a diagram of the situation.
Pick a solution strategy.
Identify the variable(s).
Show your work.
State your answer.

6. 2.4 Finding Maximums and Minimums of Polynomial Functions
Real-world domain?
Barn wall x x
60 - 2x

7. 2.4 Finding Maximums and Minimums of Polynomial Functions

8. 2.4 Finding Maximums and Minimums of Polynomial Functions

9. 2.4 Finding Maximums and Minimums of Polynomial Functions6 10
Real-world domain?

10. 2.4 Finding Maximums and Minimums of Polynomial Functions

11. To find the x-intercepts on the calculator:
To find the min or max on the calculator:
Follow the same steps as above but choose 3 for minimum or 4 for maximum

12. Section 2.4 Quadratic Functions Page 71 #1, 3, 9
Homework A
Section 2.4 Quadratic Functions Page 71 #1, 3, 9
Section 2.4 Cubic Functions
Page 72 #1, 3, 5
Homework B
Quadratic Functions Page 71 #1, 5, 9
Cubic Functions Page 72 #1, 5, 7