11 x1 t15 02 sketching polynomials (2013)

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  • 1. Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant

2. e.g. y x 1 x 1 x 2 32y x 3. Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots 4. e.g. y x 1 x 1 x 2 32y x 5. Sketching PolynomialsWhen drawing y = P(x) y intercept is the constant x intercepts are the roots as x , P(x) acts like the leading term 6. e.g. y x 1 x 1 x 2 32y x 7. e.g. y x 1 x 1 x 2 32graph starts herey x 8. e.g. y x 1 x 1 x 2 32graph starts hereygraph finishes here x 9. Sketching PolynomialsWhen 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. e.g. y x 1 x 1 x 2 32graph starts hereygraph finishes here x 11. Sketching PolynomialsWhen 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 12. e.g. y x 1 x 1 x 2 32graph starts hereygraph finishes here x 13. e.g. y x 1 x 1 x 2 32y x 14. Sketching PolynomialsWhen 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. e.g. y x 1 x 1 x 2 x 2 432 16. e.g. y x 1 x 1 x 2 x 2 432y x 17. Exercise 4B; 3cei, 4deghi, 6acm 7ac, 8, 11