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When the bottom
                   drops out of a
                   rational function ...




Ladybower plug hole by flick...
Graphing Rational Functions

 Sketching: Example 3 of 4
                             Step 5:
 Step 1:

                   ...
Graphing Rational Functions

 Sketching: Example 4 of 4

 Step 1:                     Step 5:

                           ...
Step 6:
Step 2:
Sketch the graph of
Sketch the graph of
Sketch the graph of




              USE THIS SLIDE
    AND THOSE THAT FOLLOW
             FOR EXTRA PRACTISE
Sketch the graph of
Sketch the graph of
Sketch the graph of
Sketch the graph of
Sketch the graph of
Solve by factoring each polynomial completely.

 x 3 - 7x - 6 = 0    2x 3 - 7x2 + 2x + 3 = 0     2x3 + 7x 2+ x - 10 = 0
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 -...
Sketch the graph of
Determine each value of k.
   When 2x 3 - 3x 2 + kx - 1 is divided by x - 1, the remainder is 1.
Find each of the following and their domains:
Pre-Cal 30S January 22, 2009
Pre-Cal 30S January 22, 2009
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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:

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