1. Questions from yesterday???

2. http://www.classzone.com/etest/viewTestPractice.htm?testId=4380

3. 5.2 Evaluate and Graph Polynomial Functions Day 1 Algebra 2

4. Polynomial A monomial or a sum of monomials is a function of the form: f(x) = a n x n + a n-1 x n-1 +... + a 1 x + a 0 When a n ≠ 0 the exponents € W (are all whole numbers) and the coefficients € R (are all Real Numbers)

5. End Behavior Chart (create on back of graphic organizer) Degree: odd Leading Coefficient: positive Degree: odd Leading Coefficient: Negative Degree: even Leading Coefficient: positive Degree: Even Leading Coefficient: Negative

11. Practice: Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type and leading coefficient. 1. No 2. Yes, Even, 4 th degree, quartic, -8 is the leading coef.

12. See if you got it! Decide whether the function is a polynomial function. If so, write it in standard form and state its degree, type and leading coefficient. 1. Yes, odd, cubic, 1 leading coefficient 2. No, -2 exponent makes it illegal

13. Practice End Behavior Problems Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞ 1.f(x) = 9x 4 f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞

14. Practice End Behavior Problems Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞ 2. f(x) = x 7 + 3x 4 – x 2 f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞

15. Practice End Behavior Problems Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞ 3. f(x) = -2x 6 + 3x 3 – 4x f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞

16. Practice End Behavior Problems Describe the end behavior of the graph of the polynomial function by completing these statements: f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞ 3. f(x) = -4x 5 + 15x 2 – 20 f(x)  ____ as x  -∞ and f(x)  ____ as x  +∞

17. Graph the Polynomial Use a table to graph the polynomial. Using integers from – 3 to 3 Then after showing the above the work, check your answer using your graphing calculator, a graphing app, or http://graphsketch.com/http://graphsketch.com/

18. Practice Graphing Graph the polynomial function: f(x) = x 5 + x 3 – 6 http://graphsketch.com/

20. Practice Graphing Graph the polynomial function: f(x) = -1x 4 - 2x 3 + x 2 - 2 http://graphsketch.com/

21. Assignment Page 341 3-8,28-33,38,42,43,44,47,48, Will need graph paper for six graphs