Graphing a Rational Function – Example 1
In this video, I walk through the complete process of graphing a rational function step-by-step. Learn how to find and plot key features of the function such as the x- and y-intercepts, vertical and horizontal asymptotes, and multiplicities of zeros. We also go through plotting additional points to understand the behavior of the rational function in all its regions. This example will help you master the art of graphing rational functions, a crucial concept in algebra and precalculus.
By the end of this video, you’ll be able to:
Identify and calculate the intercepts of a rational function.
Find the vertical and horizontal asymptotes and understand how they affect the graph.
Determine the multiplicity of zeros and their impact on the function’s shape.
Plot key points and sketch the complete graph of the rational function.
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