**Question:**Which graph has the following characteristics?* Three real zeros* As $ x \to -\infty $, $ f(x) \to -\infty $* As $ x \to \infty $, $ f(x) \to \infty $**Options:*** Option 1: A graph where the curve crosses the x-axis at three points and the end behavior is as described.* Option 2: A graph where the curve crosses the x-axis at three points and the end behavior is as described.* Option 3: A graph where the curve crosses the x-axis at three points and the end behavior is as described.* Option 4: A graph where the curve crosses the x-axis at three points and the end behavior is as described.### Graph Descriptions:**Option 1:**A polynomial curve crossing the x-axis thrice, moving down towards $ -\infty $ as $ x $ approaches $ -\infty $, and moving up towards $ \infty $ as $ x $ approaches $ \infty $.**Option 2:**A polynomial curve crossing the x-axis thrice, moving down towards $ -\infty $ as $ x $ approaches $ \infty $, and moving up towards $ \infty $ as $ x $ approaches $ -\infty $.**Option 3:**A polynomial curve crossing the x-axis thrice, moving down towards $ -\infty $ as $ x $ approaches $ -\infty $, and moving up towards $ \infty $ as $ x $ approaches $ \infty $.**Option 4:**A polynomial curve crossing the x-axis thrice, moving up towards $ \infty $ as $ x $ approaches $ -\infty $, and moving down towards $ -\infty $ as $ x $ approaches $ \infty $.**Correct Answer:**The correct answer to the question is **Option 3**. This graph meets the criteria of having three real zeros and exhibiting the correct end behavior as specified in the question.

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Answered: Which graph has the following…

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Which graph has the following characteristics? three real zeros • as x -o, f(x)→-0 • as x o, f(x)→∞

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.

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