The Characteristics of Polynomial Functions

When presented with the graph of a polynomial function, we can observe certain features such as zeros, turning points, and end behavior. These properties can provide valuable insights into the behavior of the function. In this article, we will take an in-depth look at how to analyze and interpret polynomial graphs.

Understanding the End Behavior of Polynomial Functions

The end behavior of a polynomial function refers to what happens to the graph as the input value (x) approaches the boundaries of its domain. In simpler terms, it is the behavior of the graph at the "ends" of the real axis. Let's examine an example to better understand this concept.

Example: The graph below shows f(x) = x^3

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