Polynomial Functions Lesson

Domain & Range:

Polynomial Functions

by Mrs. Hall :)

​Today:

​You will watch the video of myself going through the Domain & Range notes from your NEW packet!

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​Then, you will answer questions to check understanding.

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​If you skip ahead, you will most likely not understand. You have the whole class period to watch the video and answer the questions, so please take your time.

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​We will not have time to reteach this material on Monday!

​Before we being,

​Answer the next 5 questions about end behavior based on our knowledge of degrees and leading coefficients.

Multiple Select

Select all the even degree functions.

• A

• B

• C

• D

Multiple Select

Which functions have a negative leading coefficient?

• A

• B

• C

• D

Multiple Choice

Describe the type of polynomial shown.

• Even degree, negative leading coefficient
• Even Function
• Odd degree, negative leading coefficient
• Even degree, positive leading coefficient

Multiple Choice

Which equation MOST LIKELY matches the graph?

• y = x⁴ - x³ + 3x² + 2
• y = -x⁴ + x³ + 5x + 2
• y = x³ - 2x² + 1x + 3
• y = -x³ - 2x² + 1x + 3

Multiple Choice

Is the leading coefficient positive or negative

• positive
• negative

​On the next slide...

​will be a video of myself going through the domain and range portion of your new packet.

​

​We will complete the example problems, then problems 1 - 9.

​Great Job!

​If you chose to move on and NOT watch the video, that is your own choice. And it is a bad one. I will be checking your notes on Monday.

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​If you watched the video, yay! You should be great at the next 15 questions. :)

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​This quizizz will be a grade.

Poll

What do you think about Domain & Range?

• Easy!

• Need a little practice.

Multiple Choice

The range is from -4 to ∞.

How do we write this in interval notation?

• [-4, ∞)

• (-4, ∞)

Multiple Choice

The range is -∞ to ∞.

How do we write this in interval notation?

• [∞, -∞]

• (∞, -∞)

• [-∞, ∞]

• (-∞, ∞)

Multiple Choice

The domain of a polynomial function is always (-∞, ∞).

• True
• False

Multiple Choice

What is the domain of the graph?

• $$\left(-\infty,\infty\right)$$  

• To infinity and beyond
• $$\left[-1,\infty\right)$$  

• $$\left[0,\infty\right)$$  

Multiple Choice

What is the domain of the graph?

• (-∞, ∞)

• (0, 0)

• [0, ∞)

• (-1, 1)

Multiple Choice

The range of a polynomial function is always (-∞, ∞).

• True
• False

Multiple Choice

What is the range of the function?

• [-1, ∞)

• (-1, 1)

• [1.5, ∞)

• (-2, 2)

Multiple Choice

State the Range.

• $$\left(-\infty,\ 3\right]$$  

• $$\left[3,\ \infty\right)$$  

• $$\left(-\infty,\infty\right)$$  

• $$\left(-\infty,0\right]$$  

Multiple Choice

State the Range.

• $$\left(-\infty,0\right]$$  

• $$\left(-2,\ 2\right)$$  

• Y

• $$\left(-\infty,-4\right]$$  

Multiple Choice

What is the range of this quadratic function?

• All real numbers.
• [2, ∞)

• [4, ∞)

• (-∞, 4]

Multiple Choice

What is the range?

• (-∞, ∞)
• (∞, -∞)

• (0, 2)

• [-5, 5]

Multiple Choice

What is the range of the graph?

• (-∞, ∞)

• To infinity and beyond
• [-1, ∞)

• [0, ∞)

Multiple Choice

What is the range for the graph?

• [-2, 2]

• (-∞, ∞)

• (-∞, 4]

• [4, ∞)

Multiple Choice

What is the range of the graph?

• (-∞, ∞)

• (0, 0)

• [0, ∞)

• (-∞, 0]