Graphing a Rational Function in standard form as a Check for Understanding. Each characteristic is a different problem, allowing for immediate feedback for students to self-check.
For #1-6 use the same function:
1. Identify any vertical asymptotes.
NOTE: Normally you should write it as an equation x = ##. but for auto-grading, just type in the value. If there are none, type "none"
4. Identify the horizontal asymptote:
NOTE: Normally, you would your answer as an equation "y = ##". But, for auto-grading, just type in the value. If there is none, type "none"
2. Identify any x-intercept(s):
NOTE: Write your answer as an ordered pair "(x, y)". For auto-grading, make sure there is only 1 space after the comma. If there are none, type "none"
3. Identify any holes:
NOTE: Write your answer as an ordered pair "(x, y)". For auto-grading, make sure there is only 1 space after the comma. If there are none, type "none"
5. Select all the intervals that represent the domain of the function:
6. Graph the function with all the characteristics you found from above: