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In the next topic, you will learn to graph functions containing rational expressions. In analyzing the behavior of any function, the graphing calculator is a tremendous tool, but it is important to understand why various types of functions behave the way they do. Remember these basic techniques in graphing functions:

  • The first step in graphing any function is to create a table of values, either manually (select various x values and determine the resulting y values, which constitute coordinates of points on the function’s graph) or through the use of a graphing calculator.
  • Carefully plot the points identified in your table of values.
  • Identify and plot some of the basic points of any function, such as x-intercepts (or real zeros), y- intercepts, and any turning points.

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