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9-4 Practice Slide Show

Learn how to graph rational functions by sketching asymptotes, finding points, domain & range, in a visual flowchart. Practice problems included.

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9-4 Practice Slide Show

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  1. 9-4 Practice Slide Show Graphing Rational Functions

  2. Make a flow chart with the steps for graphing rational functions: Sketch Asymptotes Find Asymptotes Find points to make the graph Sketch the branches State the domain and range

  3. 3x2 2x2– 2 Graphy = . x y x y -3 –2 –½ 0 ½ 2 3 1.7 2 –½ 0 –½ 2 1.7 The degrees equal so the horizontal asymptote is y = 1½ The denominator can be factored as(x + 1)(x – 1), therefore the vertical asymptotes at x = – 1 and x = 1. Pick 2 points to the left and right then 3 points in the middle  D {x: x ≠ -1, 1} R {y: y ≠ 1½}

  4. RECAP What is the domain? x-values What is the range? y-values What are asymptotes? Bounds of a graph How do you find the vertical asymptote? Set the denominator equal to zero and solve Write a rational equation that has a horizontal asymptote y = 4 and vertical asymptote x = 3. 4x-1 x-3 y =

  5. HOMEWORK Page 551 29,30,35,37 What does it say?

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