LIMITS!!!!!!!<br />By: Glenn Sincovich<br />
Intended Height =<br />
The y value that is approached as X approaches a certain value<br />
Approaching from the Right<br />
Has a + sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from...
Approaching from the Left<br />
Has a - sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from...
Holes<br />AKA : Points of Discontinuity<br />
1. Factors that cancel in the denominator2. If everything in the denominator cancels, there are NO asymptotes, just a hole...
Asymptotes<br />
A line that the graph approaches but never touches<br />
Vertical Asymptotes<br />
Factors that don’t cancel in the denominator<br />
Horizontal Asymptotes<br />
1. When the greatest exponents are equal: 	take the ratio of the coefficients2. When the greatest exponent is in the denom...
Slant Asymptotes<br />
When the  greatest exponent is one more than the numerator: use long or synthetic division<br />
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Limits! sincovich

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Limits! sincovich

  1. 1. LIMITS!!!!!!!<br />By: Glenn Sincovich<br />
  2. 2. Intended Height =<br />
  3. 3. The y value that is approached as X approaches a certain value<br />
  4. 4. Approaching from the Right<br />
  5. 5. Has a + sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from the right side, or the positive side. <br />
  6. 6. Approaching from the Left<br />
  7. 7. Has a - sign in the equation after the number that X is approaching, and this means that you look at the graph COMING from the left side, or the negative side. <br />
  8. 8. Holes<br />AKA : Points of Discontinuity<br />
  9. 9. 1. Factors that cancel in the denominator2. If everything in the denominator cancels, there are NO asymptotes, just a hole (or holes)<br />
  10. 10. Asymptotes<br />
  11. 11. A line that the graph approaches but never touches<br />
  12. 12. Vertical Asymptotes<br />
  13. 13. Factors that don’t cancel in the denominator<br />
  14. 14. Horizontal Asymptotes<br />
  15. 15. 1. When the greatest exponents are equal: take the ratio of the coefficients2. When the greatest exponent is in the denominator, y=0<br />
  16. 16. Slant Asymptotes<br />
  17. 17. When the greatest exponent is one more than the numerator: use long or synthetic division<br />

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