11X1 T13 02 sketching polynomials

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  1. 1. Sketching Polynomials When drawing y = P(x) y intercept is the constant
  2. 2. e.g. y x 1 x 1 x 2 32 yx
  3. 3. Sketching Polynomials When drawing y = P(x) y intercept is the constant x intercepts are the roots
  4. 4. e.g. y x 1 x 1 x 2 32 yx
  5. 5. Sketching Polynomials When drawing y = P(x) y intercept is the constant x intercepts are the roots as x , P(x) acts like the leading term
  6. 6. e.g. y x 1 x 1 x 2 32 yx
  7. 7. e.g. y x 1 x 1 x 2 32 y graph starts herex
  8. 8. e.g. y x 1 x 1 x 2 32 y graph starts heregraph finishes herex
  9. 9. Sketching Polynomials When drawing y = P(x) y intercept is the constant x intercepts are the roots as x , P(x) acts like the leading term even powered roots look like or
  10. 10. e.g. y x 1 x 1 x 2 32 y graph starts heregraph finishes herex
  11. 11. Sketching Polynomials When drawing y = P(x) y intercept is the constant x intercepts are the roots as x , P(x) acts like the leading term even powered roots look like or odd powered roots look like or
  12. 12. e.g. y x 1 x 1 x 2 32 y graph starts heregraph finishes herex
  13. 13. e.g. y x 1 x 1 x 2 32 yx
  14. 14. Sketching Polynomials When drawing y = P(x) y intercept is the constant x intercepts are the roots as x , P(x) acts like the leading term even powered roots look like or odd powered roots look likeor If the polynomial can be written as x a , then it is a basic curve n
  15. 15. e.g. y x 1 x 1 x 2 x 2 432
  16. 16. e.g. y x 1 x 1 x 2 x 2 432 y x
  17. 17. Exercise 4B; 3cei, 4deghi, 6acm 7ac, 8, 11