2.12. Sign Test for Rational Function Graphs http://www.ck12.org
- Identify the vertical asymptotes.
- Will this function have an oblique asymptote? A horizontal asymptote? If so, where?
- What values will you need to use the sign test with in order to help you make a sketch of the graph?
- Use the sign test and sketch the graph near the vertical asymptote(s).
Consider the function below for questions 9-12.
h(x) =^9 x(^4) − 102 x (^3) + 349 x (^2) − 340 x+ 100
x^3 − 9 x^2 + 24 x− 16
- Identify the vertical asymptotes.
- Will this function have an oblique asymptote? A horizontal asymptote? If so, where?
- What values will you need to use the sign test with in order to help you make a sketch of the graph?
- Use the sign test and sketch the graph near the vertical asymptotes.
Consider the function below for questions 13-16.
k(x) =^2 x(^3) − 5 x (^2) − 11 x− 4
3 x^3 + 11 x^2 + 5 x− 3
- Identify the vertical asymptotes.
- Will this function have an oblique asymptote? A horizontal asymptote? If so, where?
- What values will you need to use the sign test with in order to help you make a sketch of the graph?
- Use the sign test and sketch the graph near the vertical asymptotes.