2. Notes Over 4.2 Sketching Graphs of a Rational Function Steps in Graphing a Rational Function. 1.Find the vertical and horizontal asymptotes of the function. 2.Find the y-intercepts and x-intercepts of the function. 3.Plot points between and on either side of the vertical asymptotes. 4.Use smooth curves to complete the graph.

3. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptotes: y-intercepts: Vertical asymptotes: xy x-intercepts: symmetry:

4. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptotes: x-intercepts: Vertical asymptotes: xy y-intercepts: symmetry:

5. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptotes: x-intercepts: Vertical asymptotes: xy xy y-intercepts: symmetry:

6. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptotes: x-intercepts: Vertical asymptotes: xy xy y-intercepts: symmetry:

7. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptote: x-intercepts: Vertical asymptotes: xy xy Slant asymptote: (use long division) y-intercepts: symmetry:

8. Notes Over 4.2 Sketching Graphs of a Rational Function Graph the functions. Horizontal asymptote: x-intercepts: Vertical asymptotes: xy xy Diagonal asymptote: y-intercepts: every line worth 2 symmetry:

9. Notes Over 4.2