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# Pre-Cal 30S January 22, 2009

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Graphing rational function with common factors in numerator and denominator.

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### Pre-Cal 30S January 22, 2009

1. 1. When the bottom drops out of a rational function ... Ladybower plug hole by ﬂickr user publicenergy
2. 2. Graphing Rational Functions Sketching: Example 3 of 4 Step 5: Step 1: Step 6: Step 2: Step 3: Step 7: Step 4:
3. 3. Graphing Rational Functions Sketching: Example 4 of 4 Step 1: Step 5: Step 6: Step 2: Step 3: Step 7: Step 4:
4. 4. Step 6: Step 2:
5. 5. Sketch the graph of
6. 6. Sketch the graph of
7. 7. Sketch the graph of USE THIS SLIDE AND THOSE THAT FOLLOW FOR EXTRA PRACTISE
8. 8. Sketch the graph of
9. 9. Sketch the graph of
10. 10. Sketch the graph of
11. 11. Sketch the graph of
12. 12. Sketch the graph of
13. 13. Solve by factoring each polynomial completely. x 3 - 7x - 6 = 0 2x 3 - 7x2 + 2x + 3 = 0 2x3 + 7x 2+ x - 10 = 0
14. 14. 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
15. 15. Sketch the graph of
16. 16. Determine each value of k. When 2x 3 - 3x 2 + kx - 1 is divided by x - 1, the remainder is 1.
17. 17. Find each of the following and their domains: