# 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