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The degree of the function effects what the end behavior will be. This is determined as the function approaches positive or negative infinity.

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Varsity Tutors connects you to top tutors through its award-winning live learning platform for private in-home or online tutoring in your area.

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Asymptotes are invisible lines which are graphed function will approach very closely but not ever touch. This lesson covers vertical and horizontal asymptotes with illustrations and example problems.

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As asymptote is a place on a graph that the function approaches, but never actually touches

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When graphing it is important to be able to determine the x and y intercepts, here is a video on how to do this:

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Monterey Institute for Technology and Education

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Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.

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The domain and range are crucial for determining if something is function or not, learn more here:

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Functions: Domain and Range | Purplemath

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Discusses the domain and range of a function, and how to find the domain and range from a list of points or from a graph.