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Polynomial Functions (End Behavior) Name: Teacher: Class: Date: Directions: Using the following graphs as examples, write the appropriate letter for the end behavior for the graph of each polynomial.

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Filling out the What Is The End Behavior Of The Polynomial Function form can help users understand the nature of polynomial functions through end behavior analysis. This guide provides a step-by-step framework to effectively complete the form online.

Follow the steps to accurately fill out the form.

  1. Click ‘Get Form’ button to obtain the form and open it in the editor.
  2. Begin by entering your name in the designated field to identify yourself on the form.
  3. Next, fill in the teacher's name to indicate who is overseeing your completion of this activity.
  4. Proceed to input your class name or code in the appropriate section to categorize the submission.
  5. Enter the date of completion in the provided field to mark when you filled out the form.
  6. Analyze the graphs provided and use them to determine the end behavior for each polynomial function listed. Write the corresponding letter for each equation in the empty spaces provided.
  7. Review each entry to ensure accuracy in the end behavior analyses, aiming for clarity and precision.
  8. Once everything is filled out correctly, you can choose to save changes, download the completed form, print it, or share it as needed.

Complete your documents online effectively and enhance your understanding of polynomial functions.

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What is the end behavior of the graph of the polynomial function y = 7x12 - 3x8 - 9x4? Therefore, the end behaviour of the graph is x → ∞, y → ∞ and x → -∞, y → ∞.

End Behavior: The end behavior of a graph of a function is how the graph behaves as x approaches infinity or negative infinity. The end behavior of a function is equal to its horizontal asymptotes, slant/oblique asymptotes, or the quotient found when long dividing the polynomials.

What is the End Behavior of a Function? The end behavior of a function f(x) refers to how the function behaves when the variable x increases or decreases without bound. In other words, the end behavior describes the ultimate trend in the graph of f(x) as we move towards the far right or far left of the x -axis.

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

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