Graphing rational function with common factors in numerator and denominator.

1. When the bottom
drops out of a
rational function ...
Ladybower plug hole by flickr user publicenergy

2. Graphing Rational Functions
Sketching: Example 3 of 4
Step 5:
Step 1:
Step 6:
Step 2:
Step 3:
Step 7:
Step 4:

5. Graphing Rational Functions
Sketching: Example 4 of 4
Step 1: Step 5:
Step 6:
Step 2:
Step 3:
Step 7:
Step 4:

6. Step 6:
Step 2:

7. Sketch the graph of

8. Sketch the graph of

9. Sketch the graph of
USE THIS SLIDE
AND THOSE THAT FOLLOW
FOR EXTRA PRACTISE

10. Sketch the graph of

11. Sketch the graph of

12. Sketch the graph of

13. Sketch the graph of

14. Sketch the graph of

15. Solve by factoring each polynomial completely.
x 3 - 7x - 6 = 0 2x 3 - 7x2 + 2x + 3 = 0 2x3 + 7x 2+ x - 10 = 0

16. Determine each value of k.
x - 2 is a factor of x3 - 6x2 + kx - 6
x + 4 is a factor of 3x3 + 11x2 - 6x + k
x - 3 is a factor of x3 + kx2 + kx + 21

17. Sketch the graph of

18. Determine each value of k.
When 2x 3 - 3x 2 + kx - 1 is divided by x - 1, the remainder is 1.

19. Find each of the following and their domains: