Lesson 3.5 is all about graphing rational functions. Make sure that you know the difference between a rational function and a polynomial function. Here are the hi-lites of the lesson: Before sketching the graph, find the Domain, Hole(s), Vertical Asymptotes, Horizontal or Oblique Asymptotes, and Zeros and y-intercept. After graphing, determine the range of the function.
Graphing Tips: 1. Sketch hole(s), zero(s), and y-intercept of the graph.
2. Sketch vertical, horizontal or oblique asymptote(s)
3. Note if the ratio of the leading coefficients is
positive or negative.
a. If positive, the graph begins on the right of and above
the x-axis.
b. If negative, the graph begins on the right of and below
the x-axis.
4. Sketch the first branch of the graph in the appropriate region.
5. Use the multiplicity of the vertical asymptote to determine from
which infininty to begin the next branch of the graph.
6. Repeat steps 4 and 5 until the graph is complete.
Please help one another by commenting with your own tips and helps for graphing. See you Monday.
Mrs. S
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