Module 1 - Topic 3 - Lesson 4 - Building Cubic and Quartic Functions

Essential Question(s): 

How can a cubic or quartic function be built?​​​

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Follow the steps to complete your notes and review the content.

STEP 1: Preparation 
Title your spiral with the heading above, copy the essential question(s), and draw your border line for the Cornell notes.

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STEP 2: Textbook
Answer the follow questions by using your workbook. Read more than enough to ensure a complete answer to the question. 
Following a Cornell notes format, the questions should be written in the left-hand column and with the answers to the right of the question.
Make sure to write enough to answer the question.

​Activity 4.1

1. What is the difference between real zeros and imaginary zeros?
2. Why is it impossible for the cubic function to have all imaginary zeros?
3. How can you build a cubic function?
4. What possible combinations of zeros can a cubic function have?
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Activity 4.2

1. Graphically, what do imaginary zeros look like?
2. Algebraically, what do imaginary zeros look like?
3. Is the domain for any polynomial function always all real numbers?
4. Is the range for any polynomial function always all real numbers?

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STEP 3: Self-check
Perform a self-check after the lesson is completed in class by asking yourself the following question:
                                                                     "Can you answer the essential question(s) completely?"

• Yes? Awesome job! You took effective notes, and paid attention. You are on your way to success! :D
• No? Ok. We all have struggles. Determine why you said no, revise your notes and self-check again. Do not get discouraged.